Folks at xda have provided download links of Android 4.4 Kitkat for the Samsung Galaxy Note 10.1 2012 edition. Right now the users are stuck on the Android 4.1.2 jelly bean ROM. Note that this process will delete all data stored on your tablet so make sure to create a backup before proceeding.
First download ODIN from here. After that download all files provided by galaxy note news and store them on your computer.
BL :
BL_N8000XXUDND5.tar
http://www13.zippyshare.com/v/45313724/file.html
MODEM :
MODEM_N8000XXUDND2.tar
http://www64.zippyshare.com/v/59505193/file.html
CSC :
CSC_OXA_N8000OXADND5.tar :
CSC_OXA_N8000OXADND5.zip
http://www67.zippyshare.com/v/82582924/file.html
CSC_OXA_N8000OXADND5.z01
http://www48.zippyshare.com/v/56875063/file.html
CSC_OXA_N8000OXADND5.z02
http://www39.zippyshare.com/v/97261232/file.html
AP:
AP_N8000XXUDND5.tar :
AP_N8000XXUDND5.zip
http://www57.zippyshare.com/v/73873394/file.html
AP_N8000XXUDND5.z01
http://www3.zippyshare.com/v/46722430/file.html
AP_N8000XXUDND5.z02
http://www30.zippyshare.com/v/47884001/file.html
AP_N8000XXUDND5.z03
http://www32.zippyshare.com/v/39571794/file.html
AP_N8000XXUDND5.z04
http://www65.zippyshare.com/v/21536434/file.html
AP_N8000XXUDND5.z05
http://www69.zippyshare.com/v/78725952/file.html
AP_N8000XXUDND5.z06
http://www35.zippyshare.com/v/63192076/file.html
Then put your Galaxy Tab 10.1 2012 in download mode by pressing volume down + power button together for few seconds. Then connect it to your computer and start ODIN. Select them as shown in following screenshot.
Now click on start to flash. Give it some time as you are flashing an entirely new OS on to it.