111111111100091 has 16 divisors (see below), whose sum is σ = 116185158245376. Its totient is φ = 106057521425856.

The previous prime is 111111111100081. The next prime is 111111111100097. The reversal of 111111111100091 is 190001111111111.

It is a cyclic number.

It is not a de Polignac number, because 111111111100091 - 2⁶ = 111111111100027 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111111100097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22633271 + ... + 27101423.

It is an arithmetic number, because the mean of its divisors is an integer number (7261572390336).

Almost surely, 2^{111111111100091} is an apocalyptic number.

111111111100091 is a deficient number, since it is larger than the sum of its proper divisors (5074047145285).

111111111100091 is a wasteful number, since it uses less digits than its factorization.

111111111100091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470442.

The product of its (nonzero) digits is 9, while the sum is 20.

The spelling of 111111111100091 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand, ninety-one".