All of the sub-$1 coins that I have ever received as change in my lifetime would not add up to $100. But I also don't use (or even carry) cash unless I absolutely must.
Edit to add: I have a jar too. It's a standard mason jar. I started filling this one after my last move. In 2013.
I have yet to fill it completely.
Typical T-Mobile. I have to do the same in certain cities.