2011101122091 has 16 divisors (see below), whose sum is σ = 2778559900160. Its totient is φ = 1292977576800.

The previous prime is 2011101122081. The next prime is 2011101122099. The reversal of 2011101122091 is 1902211011102.

It is not a de Polignac number, because 2011101122091 - 2⁷ = 2011101121963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011101122099) 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, 98660260 + ... + 98680641.

It is an arithmetic number, because the mean of its divisors is an integer number (173659993760).

Almost surely, 2^{2011101122091} is an apocalyptic number.

2011101122091 is a deficient number, since it is larger than the sum of its proper divisors (767458778069).

2011101122091 is a wasteful number, since it uses less digits than its factorization.

2011101122091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197341026.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 2011101122091 its reverse (1902211011102), we get a palindrome (3913312133193).

It can be divided in two parts, 20111011 and 22091, that added together give a palindrome (20133102).

The spelling of 2011101122091 in words is "two trillion, eleven billion, one hundred one million, one hundred twenty-two thousand, ninety-one".