9100919100091 has 64 divisors (see below), whose sum is σ = 11488774752000. Its totient is φ = 7163581759488.

The previous prime is 9100919100089. The next prime is 9100919100181. The reversal of 9100919100091 is 1900019190019.

9100919100091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9100919100091 - 2¹ = 9100919100089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9100919104091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1463873215 + ... + 1463879431.

It is an arithmetic number, because the mean of its divisors is an integer number (179512105500).

Almost surely, 2^{9100919100091} is an apocalyptic number.

9100919100091 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9100919100091 is a deficient number, since it is larger than the sum of its proper divisors (2387855651909).

9100919100091 is a wasteful number, since it uses less digits than its factorization.

9100919100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 9100919100091 in words is "nine trillion, one hundred billion, nine hundred nineteen million, one hundred thousand, ninety-one".