I've seen a shitload of $2000 notes, in the cash drawer of the bank I went in to get one. It was a normal bank in Taoyuan City though, nothing special about it. The girl said "I often receive, but never give" which I thought was pretty amusing!
I've never seen a $200 though, and only three or four $20 coins.
Don't post them home either. I did what you're doing in India a few years ago, stashed them in a book and sent them home. None of them made the trip. $1685 rupees and a lot of work down the pan at the hands of some over zealous and underpaid customs worker, somewhere.