1) exceeding some number or measure or rank or need
1a) over and above, more than is necessary, superadded
1a1) exceeding abundantly, supremely
1a2) something further, more, much more than all, more plainly
1b) superior, extraordinary, surpassing, uncommon
1b1) pre-eminence, superiority, advantage, more eminent, more remarkable, more excellent
Part of Speech: adjective
Citing in TDNT: 6:61, 828
From G4012 (in the sense of beyond); superabundant (in quantity) or superior (in quality); by implication excessive; adverb (with G1537) violently; neuter (as noun) preeminence: - exceeding abundantly above, more abundantly, advantage, exceedingly, very highly, beyond measure, more, superfluous, vehement [-ly].
These two sites give similar information, with the definition from several dictionaries and statistics on the use of the word.
Perseus Digital Library
University of Chicago's Logion lexicon
Thayer's dictionary plus other information.
From this site's dictionary (in Italian)
Click on the first column to search for that word as a form of the root ὑπερεκπερισσοῦ; click on the second column to search for that grammatical form of the root ὑπερεκπερισσοῦ; click on the third column to search for that word and grammatical form; click on the total to search for the root ὑπερεκπερισσοῦ.