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Retroactive reinsurance contracts - Narrative (Detail) - USD ($)
$ in Millions
9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Dec. 31, 2020
Dec. 31, 2019
Effects Of Reinsurance [Line Items]        
Unpaid losses and loss adjustment expenses under retroactive reinsurance contracts $ 39,721 $ 41,786 $ 40,966 $ 42,441
Deferred charges under retroactive reinsurance contracts 11,732 13,012 12,441 $ 13,747
Retroactive Reinsurance [Member]        
Effects Of Reinsurance [Line Items]        
Incurred losses and loss adjustment expenses for (reductions of) prior years' accident events 700 $ 866    
NICO [Member] | AIG [Member] | Retroactive Reinsurance [Member]        
Effects Of Reinsurance [Line Items]        
Maximum contractual liability under contract 20,000      
Unpaid losses and loss adjustment expenses under retroactive reinsurance contracts 16,800   17,700  
Retroactive reinsurance contracts, claims paid 837      
Deferred charges under retroactive reinsurance contracts $ 5,000   $ 5,400