91101000001 has 32 divisors (see below), whose sum is σ = 107741145600. Its totient is φ = 76088705280.

The previous prime is 91100999963. The next prime is 91101000013. The reversal of 91101000001 is 10000010119.

It is a cyclic number.

It is not a de Polignac number, because 91101000001 - 2²⁷ = 90966782273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91101000061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22665570 + ... + 22669588.

It is an arithmetic number, because the mean of its divisors is an integer number (3366910800).

Almost surely, 2^91101000001 is an apocalyptic number.

It is an amenable number.

91101000001 is a deficient number, since it is larger than the sum of its proper divisors (16640145599).

91101000001 is a wasteful number, since it uses less digits than its factorization.

91101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 91101000001 in words is "ninety-one billion, one hundred one million, one", and thus it is an aban number.