110122111121121 has 96 divisors (see below), whose sum is σ = 174880471633920. Its totient is φ = 66221451072000.

The previous prime is 110122111121059. The next prime is 110122111121147. The reversal of 110122111121121 is 121121111221011.

110122111121121 is a `hidden beast` number, since 1 + 101 + 221 + 111 + 211 + 21 = 666.

It is not a de Polignac number, because 110122111121121 - 2¹¹ = 110122111119073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110122111121094 and 110122111121103.

It is not an unprimeable number, because it can be changed into a prime (110122111121171) 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 95 ways as a sum of consecutive naturals, for example, 17515840840 + ... + 17515847126.

It is an arithmetic number, because the mean of its divisors is an integer number (1821671579520).

Almost surely, 2^{110122111121121} is an apocalyptic number.

110122111121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110122111121121 is a deficient number, since it is larger than the sum of its proper divisors (64758360512799).

110122111121121 is a wasteful number, since it uses less digits than its factorization.

110122111121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8507 (or 8504 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 110122111121121 its reverse (121121111221011), we get a palindrome (231243222342132).

The spelling of 110122111121121 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".