111010000961 has 2 divisors, whose sum is σ = 111010000962. Its totient is φ = 111010000960.

The previous prime is 111010000931. The next prime is 111010001057. The reversal of 111010000961 is 169000010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95691235600 + 15318765361 = 309340^2 + 123769^2 .

It is an emirp because it is prime and its reverse (169000010111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111010000961 - 2¹⁸ = 111009738817 is a prime.

It is a super-2 number, since 2×111010000961² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111010000931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505000480 + 55505000481.

It is an arithmetic number, because the mean of its divisors is an integer number (55505000481).

Almost surely, 2^111010000961 is an apocalyptic number.

It is an amenable number.

111010000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010000961 is an equidigital number, since it uses as much as digits as its factorization.

111010000961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 111010000961 in words is "one hundred eleven billion, ten million, nine hundred sixty-one", and thus it is an aban number.