11122110120121 has 32 divisors (see below), whose sum is σ = 15186287692800. Its totient is φ = 7864327471680.

The previous prime is 11122110120119. The next prime is 11122110120127. The reversal of 11122110120121 is 12102101122111.

It is a cyclic number.

It is not a de Polignac number, because 11122110120121 - 2¹ = 11122110120119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11122110120095 and 11122110120104.

It is not an unprimeable number, because it can be changed into a prime (11122110120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94101951 + ... + 94220068.

It is an arithmetic number, because the mean of its divisors is an integer number (474571490400).

Almost surely, 2^{11122110120121} is an apocalyptic number.

11122110120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122110120121 is a deficient number, since it is larger than the sum of its proper divisors (4064177572679).

11122110120121 is a wasteful number, since it uses less digits than its factorization.

11122110120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188322109.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11122110120121 its reverse (12102101122111), we get a palindrome (23224211242232).

The spelling of 11122110120121 in words is "eleven trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, one hundred twenty-one".