At the time of writing, both Debian Stable (wheezy) and Testing (jessie) would boot easily on the X102.
In both cases, you can simply download one of the install ISOs, dd’ it on to a USB flash device, and boot in to the installer. Either will work.
Jessie appears at a quick glance to have almost complete hardware support. The wifi, wired ethernet, camera, sound hardware, touchpad, and touchscreen(!) all work out-of-the-box.
There’s no hardware acceleration for the AMD/ATI Radeon so the desktop is extremely slow. It does, however, launch correctly at the right resolution and run stably. It’s likely that the latest ‘fglrx’ (binary-only) driver from AMD might fix this.
Wheezy installs easily, and likewise lacks driver support for the display – but produces a usable desktop nevertheless. It also appears to lack out-of-the-box support for the touchscreen, and possibly also for the camera. Both wired and wireless ethernet work as expected.