9100007011961 has 2 divisors, whose sum is σ = 9100007011962. Its totient is φ = 9100007011960.

The previous prime is 9100007011939. The next prime is 9100007011981. The reversal of 9100007011961 is 1691107000019.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5400250936336 + 3699756075625 = 2323844^2 + 1923475^2 .

It is a cyclic number.

It is not a de Polignac number, because 9100007011961 - 2¹⁰ = 9100007010937 is a prime.

It is not a weakly prime, because it can be changed into another prime (9100007011981) 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, 4550003505980 + 4550003505981.

It is an arithmetic number, because the mean of its divisors is an integer number (4550003505981).

Almost surely, 2^{9100007011961} is an apocalyptic number.

It is an amenable number.

9100007011961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9100007011961 is an equidigital number, since it uses as much as digits as its factorization.

9100007011961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 35.

The spelling of 9100007011961 in words is "nine trillion, one hundred billion, seven million, eleven thousand, nine hundred sixty-one".