Rice's theorem 1:
Try to derive two sets of languages one of which wil follow the property and other will not. If you can do so it will be non trivial property of RE set which is undecidable.
set 1 : {01} set 2 : {0011,00001111,000000111111, } equal 0's and 1's. So it is undecidable
Moreover the set which follow the property is subset of set which does not follow the property making it a non-monotonic property. Hence as per Rice's theorem part 2, it is not even partially decidable.