Bluetooth on iPad Pro stops abruptly
I have an iPad Pro running the latest version of IOS 10, and am experiencing an occasional, but repeated experience where the Bluetooth just shuts down. I have the Apple "Fold Around" keyboard for it and an Apple Pencil. Both stop at the same time. When I check the settings, the Bluetooth reports that it's "ON", but the Keyboard has quit and the Pencil reports "Not Connected". When you try to pair it, it fails.
So far, the only thing that seems to restore it, is to completely reboot the device (turning Bluetooth off and back on hasn't worked so far).
Is this a glitch in my iPad or just a known phenomenon?
Thanks!
iPad Pro, iOS 10.2.1