9100001010091 has 16 divisors (see below), whose sum is σ = 9598099341600. Its totient is φ = 8615851711488.

The previous prime is 9100001010041. The next prime is 9100001010119. The reversal of 9100001010091 is 1900101000019.

It is a cyclic number.

It is not a de Polignac number, because 9100001010091 - 2¹³ = 9100001001899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9100001010011) 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, 14532745 + ... + 15145978.

It is an arithmetic number, because the mean of its divisors is an integer number (599881208850).

Almost surely, 2^{9100001010091} is an apocalyptic number.

9100001010091 is a deficient number, since it is larger than the sum of its proper divisors (498098331509).

9100001010091 is a wasteful number, since it uses less digits than its factorization.

9100001010091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29678958.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 9100001010091 in words is "nine trillion, one hundred billion, one million, ten thousand, ninety-one".