I had the same happening when I installed the latest LP rom on my TF700. I finally solved it by formatting data in TWRP (format - not wipe) and reinstalling the rom. Something about the last gapps packages seems to really require a format of data in LP. Haven't figured out what it is. The format can take an hour, don't know the TF101 TWRP and if it also does the trim when formatting. But if it does, it can take an hour or more. Let it finish!!
Everything on data will get wiped, so back up your personal stuff.