I was finally able to find out that it does indeed work with the D7100 and ordered one last week. Got home tonight and found it waiting for me in the mailbox. Couldn't wait to try it out so I set up my tripod in the house and gave it as much of a test run as possible in the confined space of the house and thought I'd share my test results with the group.
I haven't found a single thing about it that I don't like so far. User instructions are short and concise and easy to understand. It's so simple I expect most folks could figure out how to use it without even reading them, (although I'm not recommending that). I set it up in the living room, pointed it towards the kitchen where my wife and granddaughter were busy baking cookies and took a series of shots while figuring out what camera settings would work best with the indoor lighting. The remote worked to perfection each and every time. It didn't seem to matter one iota whether I was standing behind, in front of, or to either side of the camera, worked where ever I stood. But what really knocked my socks off was when I took it into different rooms at opposite ends of the house and fired it right through the walls and it still worked absolutely flawlessly. Having given it only this one small test I can't really say conclusively that this unit has no faults but so far I'm completely happy with it. More tests to come, hopefully tomorrow, outside, weather permitting, and at longer ranges.