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Stock-based compensation (Details Textual) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2011
Dec. 31, 2010
Dec. 31, 2009
Stock Options [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total intrinsic value of stock options exercised during the year $ 47 $ 15 $ 57
Expected dividend yield 2.00% 0.00% 0.00%
Weighted-average risk-free interest rate 2.50% 3.20% 2.10%
Performance Units [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
The number of shares by which the pool of available shares will be reduced for other types of awards granted 1.9 1.9 1.9
Period over which the grants of equity instruments vest 3 years 3 years 3 years
Expected dividend yield 0.10% 0.00% 0.00%
Weighted-average risk-free interest rate 1.20% 1.30% 1.20%
Weighted average grant date fair value, granted $ 49.50 $ 62.06 $ 48.22
Total fair value of units that vested during the year 25 34 29
Total unrecognized compensation cost related to nonvested awards 90    
Weighted average number of years over which compensation cost related to nonvested awards is expected to be recognized 1.1    
Units outstanding 4,100,000 2,700,000  
Weighted average grant date fair value of units, outstanding $ 51.92 $ 49.49  
Units granted 2,500,000    
Units, vested 400,000    
Weighted average grant date fair value, vested $ 48.22    
Units, forfeited 200,000    
Weighted average grant date fair value, forfeited $ 52.70    
Performance unit liability awards paid     30
Restricted Stock Units [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
The number of shares by which the pool of available shares will be reduced for other types of awards granted 1.9 1.9 1.9
Weighted average grant date fair value, granted $ 51.83 $ 58.19 $ 51.24
Total fair value of units that vested during the year 176 184 139
Units outstanding 9,000,000 9,300,000  
Units granted 4,000,000    
Units, vested 3,400,000    
Weighted average grant date fair value, vested $ 52.06    
Units, forfeited 900,000    
Weighted average grant date fair value, forfeited $ 52.77    
Stock Option and Restricted Stock Units [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total unrecognized compensation cost related to nonvested awards $ 407    
Weighted average number of years over which compensation cost related to nonvested awards is expected to be recognized 1.7    
Granted on and after April 25, 2011 [Member] | Restricted Stock Units [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected dividend yield 1.90%    
Weighted-average risk-free interest rate 1.00%    
Granted on and after April 26, 2010 [Member] | Stock Options [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expiration period of stock options from date of grant P10Y P10Y  
Granted prior to April 26, 2010 [Member] | Stock Options [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expiration period of stock options from date of grant   P7Y P7Y
Granted prior to April 25, 2011 [Member] | Stock Options [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Period over which the grants of equity instruments vest 4 years 4 years 4 years
Granted prior to April 25, 2011 [Member] | Restricted Stock Units [Member]
     
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Period over which the grants of equity instruments vest 4 years 4 years 4 years