With his sixth point of the game, Carter tied West for 21st with 25,192 points. He later passed West and finished with nine points in the game.
Trae Young and Taurean Price each had 19 points for the Hawks, who wasted a 17-point lead.
The Hawks led 66-49 in the second quarter before Toronto used an 11-0 run to launch the comeback. Danny Green sank three free throws to cap the run.
The Raptors kept the momentum in the third quarter and led 88-85 entering the final period. Toronto opened the fourth quarter with a 13-3 run to extend its lead.