the newest Note 10.1 last firmware update, it support exFAT file system.
I have tested ext2 for Note 10.1 with Link2SD app successful.
format micro SD card with 2 primary partition , 1 Fat 32, 1 ext2 --use Minitool
install Link2SD, it ask reboot to mount the 2nd partition.
then the ext2 parttion is mounted in : /data/sdext2
you can try copy file to it, and leave Link2SD installed .
another solution --NTFS
i have tested with TAB 10.1 with USB OTG cable.
a micro SD card in card reader formarted with NTFS use Minitool.
install NTFS mounter from google play store.
also APP USB OTG helper(from xDA) worked too.
limit 4G file out.