9901111110091 has 2 divisors, whose sum is σ = 9901111110092. Its totient is φ = 9901111110090.

The previous prime is 9901111110049. The next prime is 9901111110179. The reversal of 9901111110091 is 1900111111099.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 9901111110091 - 2¹⁵ = 9901111077323 is a prime.

It is not a weakly prime, because it can be changed into another prime (9901111110041) 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, 4950555555045 + 4950555555046.

It is an arithmetic number, because the mean of its divisors is an integer number (4950555555046).

Almost surely, 2^{9901111110091} is an apocalyptic number.

9901111110091 is a deficient number, since it is larger than the sum of its proper divisors (1).

9901111110091 is an equidigital number, since it uses as much as digits as its factorization.

9901111110091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 34.

The spelling of 9901111110091 in words is "nine trillion, nine hundred one billion, one hundred eleven million, one hundred ten thousand, ninety-one".