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Goodwill, Customer Relationships and Other Intangible Assets
9 Months Ended
Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill, Customer Relationships and Other Intangible Assets Goodwill, Customer Relationships and Other Intangible Assets
Goodwill, customer relationships and other intangible assets consisted of the following:
September 30, 2021December 31, 2020
(Dollars in millions)
Goodwill$9,360 9,360 
Customer relationships, less accumulated amortization of $5,699 and $5,611
$— 88 
Other intangible assets, less accumulated amortization of $1,859 and $1,831
215 255 
Total other intangible assets, net$215 343 

Substantially all of our goodwill was derived from Lumen's acquisition of us where the purchase price exceeded the fair value of the net assets acquired.

We assess our goodwill for impairment annually as of October 31, or, under certain circumstances, more frequently, such as when events or changes in circumstances indicate there may be impairment. We are required to write-down the value of goodwill in periods in which the carrying value of equity exceeds the estimated fair value of equity, limited to the amount of goodwill. Goodwill is evaluated for impairment at the reporting unit level, and we have determined that we have one reporting unit.

As of September 30, 2021, the gross carrying amount of goodwill, customer relationships and other intangible assets was $17.1 billion. The amortization expense for intangible assets for the three months ended September 30, 2021 and 2020 totaled $22 million and $120 million, respectively. The amortization expense for intangible assets for the nine months ended September 30, 2021 and 2020 totaled $154 million and $365 million, respectively.

We estimate that total amortization expense for intangible assets for the years ending December 31, 2021 through 2025 will be as follows:
(Dollars in millions)
2021 (remaining three months)$21 
202286 
202362 
202413 
202511