111110100000961 has 2 divisors, whose sum is σ = 111110100000962. Its totient is φ = 111110100000960.

The previous prime is 111110100000943. The next prime is 111110100000973. The reversal of 111110100000961 is 169000001011111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107738172090000 + 3371927910961 = 10379700^2 + 1836281^2 .

It is an emirp because it is prime and its reverse (169000001011111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111110100000961 - 2⁵ = 111110100000929 is a prime.

It is a super-2 number, since 2×111110100000961² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111110100000941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555050000480 + 55555050000481.

It is an arithmetic number, because the mean of its divisors is an integer number (55555050000481).

Almost surely, 2^{111110100000961} is an apocalyptic number.

It is an amenable number.

111110100000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110100000961 is an equidigital number, since it uses as much as digits as its factorization.

111110100000961 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 22.

The spelling of 111110100000961 in words is "one hundred eleven trillion, one hundred ten billion, one hundred million, nine hundred sixty-one", and thus it is an aban number.