111110111110961 has 2 divisors, whose sum is σ = 111110111110962. Its totient is φ = 111110111110960.

The previous prime is 111110111110939. The next prime is 111110111111023. The reversal of 111110111110961 is 169011111011111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110320046122225 + 790064988736 = 10503335^2 + 888856^2 .

It is a cyclic number.

It is not a de Polignac number, because 111110111110961 - 2¹⁸ = 111110110848817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111110111110961.

It is not a weakly prime, because it can be changed into another prime (111110113110961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555055555480 + 55555055555481.

It is an arithmetic number, because the mean of its divisors is an integer number (55555055555481).

Almost surely, 2^{111110111110961} is an apocalyptic number.

It is an amenable number.

111110111110961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110111110961 is an equidigital number, since it uses as much as digits as its factorization.

111110111110961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 26.

The spelling of 111110111110961 in words is "one hundred eleven trillion, one hundred ten billion, one hundred eleven million, one hundred ten thousand, nine hundred sixty-one".