22111100111121 has 32 divisors (see below), whose sum is σ = 35692917753600. Its totient is φ = 11885728935936.

The previous prime is 22111100111069. The next prime is 22111100111129. The reversal of 22111100111121 is 12111100111122.

It is not a de Polignac number, because 22111100111121 - 2¹¹ = 22111100109073 is a prime.

It is a super-3 number, since 3×22111100111121³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22111100111121.

It is not an unprimeable number, because it can be changed into a prime (22111100111129) 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, 14794296 + ... + 16220153.

It is an arithmetic number, because the mean of its divisors is an integer number (1115403679800).

Almost surely, 2^{22111100111121} is an apocalyptic number.

22111100111121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22111100111121 is a deficient number, since it is larger than the sum of its proper divisors (13581817642479).

22111100111121 is a wasteful number, since it uses less digits than its factorization.

22111100111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31016473.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 22111100111121 its reverse (12111100111122), we get a palindrome (34222200222243).

Subtracting from 22111100111121 its reverse (12111100111122), we obtain a palindrome (9999999999999).

The spelling of 22111100111121 in words is "twenty-two trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".