10101111000961 has 2 divisors, whose sum is σ = 10101111000962. Its totient is φ = 10101111000960.

The previous prime is 10101111000949. The next prime is 10101111000971. The reversal of 10101111000961 is 16900011110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7851204000000 + 2249907000961 = 2802000^2 + 1499969^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101111000961 - 2³⁵ = 10066751262593 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101111000971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555500480 + 5050555500481.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555500481).

Almost surely, 2^{10101111000961} is an apocalyptic number.

It is an amenable number.

10101111000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111000961 is an equidigital number, since it uses as much as digits as its factorization.

10101111000961 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 22.

The spelling of 10101111000961 in words is "ten trillion, one hundred one billion, one hundred eleven million, nine hundred sixty-one", and thus it is an aban number.