91910091001 has 16 divisors (see below), whose sum is σ = 94427036928. Its totient is φ = 89431056000.

The previous prime is 91910090977. The next prime is 91910091029. The reversal of 91910091001 is 10019001919.

It is not a de Polignac number, because 91910091001 - 2³⁵ = 57550352633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91910091071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2900821 + ... + 2932333.

It is an arithmetic number, because the mean of its divisors is an integer number (5901689808).

Almost surely, 2^91910091001 is an apocalyptic number.

It is an amenable number.

91910091001 is a deficient number, since it is larger than the sum of its proper divisors (2516945927).

91910091001 is a wasteful number, since it uses less digits than its factorization.

91910091001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32112.

The product of its (nonzero) digits is 729, while the sum is 31.

It can be divided in two parts, 919100 and 91001, that added together give a palindrome (1010101).

The spelling of 91910091001 in words is "ninety-one billion, nine hundred ten million, ninety-one thousand, one".