(edit) project page: http://sourceforge.net/p/necessitas/home/necessitas/
On the other hand, the current Eclipse SDK does have a pretty compelling advantage over Qt Creator: it's already written and working. If it ain't broke, don't fix it.
From my personal experience, I'd have to say that's highly debatable.
Yes. Also Google already has multiple development platforms, including one for Android (two, if you count Java and C++ Android development separately, they do have separate development kits).
Last I checked, native apps on Android were limited to raw OpenGL.
There is already an Android port of Qt in progress here, with a lot of things (including Qt Quick and QWidgets) already working: http://sourceforge.net/p/necessitas/home/necessitas/ Several apps using Qt have already been published in Google Play.