It will run on Intel Atoms, but you have to make sure it has a graphics core from Intel and not the PowerVR graphics core licensed from Imagination Technologies as there is no good support for it on Linux. Reported earlier here:
viewtopic.php?f=59&t=105091. Situation may have improved, but I'd avoid it.
On Cinnamon at least you get Caribou pre-installed, which is the on-screen keyboard from Gnome. You'd need something like that. The question is though, how do you install it on the device and will all hardware be compatible, and is the desktop environment you pick even touch interface friendly? (KDE is the only one that is, along with Unity and Gnome Shell trying to catch-up with KDE.) Ubuntu makes available a pre-compiled image that you basically flash a compatible tablet device with. There is nothing like that for Linux Mint.