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Accumulated other comprehensive income (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance $ 424,791    
Other comprehensive income, net 1,000 $ (228) $ (2,211)
Ending Balance 443,164 424,791  
Cumulative effect, period of adoption, adjustment [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance     (61,375)
Unrealized appreciation of investments, net [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance 481 370 62,093
Other comprehensive income, net 55 111 (383)
Ending Balance 536 481 370
Unrealized appreciation of investments, net [Member] | Cumulative effect, period of adoption, adjustment [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance     (61,340)
Foreign currency translation [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance (4,346) (4,603) (3,114)
Other comprehensive income, net 1,264 257 (1,424)
Ending Balance (3,082) (4,346) (4,603)
Foreign currency translation [Member] | Cumulative effect, period of adoption, adjustment [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance     (65)
Defined benefit pension plans [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance (1,369) (816) (420)
Other comprehensive income, net (276) (553) (432)
Ending Balance (1,645) (1,369) (816)
Defined benefit pension plans [Member] | Cumulative effect, period of adoption, adjustment [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance     36
Other AOCI transactions [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance (9) 34 12
Other comprehensive income, net (43) (43) 28
Ending Balance (52) (9) 34
Other AOCI transactions [Member] | Cumulative effect, period of adoption, adjustment [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance     (6)
Accumulated other comprehensive income [Member]      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Beginning Balance (5,243) (5,015) 58,571
Ending Balance $ (4,243) $ (5,243) $ (5,015)