I do not know if it is necessary to clean it after shooting 100 22LR rounds. But stop using it for 22LR.
CF suppressors take around 2-3K shots before needing a clean or where the performance may start to reduce, of course you can shoot with them a lot longer.
22LR cans take maybe 800-1200 shots until they are quite filled.
But I do not see any real reason to clean it just for the sake of 100 22LR shots through it.
Just take care of your cans regular maintenance.
As for maintenance, I plan to put my CF can into a sonic cleaner, owned by some shop or a friend.
22LR take down cans I clean by putting 5-8 drops / 2ml of motor oil in there before shooting 2-4 shots, sometimes much more, to coat it all over and let it soften the stuff over night. It makes the caking very soft, enough to just wipe 95% off with paper towel, and put the can back in business.