100122110111121 has 16 divisors (see below), whose sum is σ = 152567490480000. Its totient is φ = 57212459768448.

The previous prime is 100122110111087. The next prime is 100122110111159. The reversal of 100122110111121 is 121111011221001.

It is not a de Polignac number, because 100122110111121 - 2¹⁷ = 100122109980049 is a prime.

It is a super-3 number, since 3×100122110111121³ (a number of 43 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 100122110111121.

It is not an unprimeable number, because it can be changed into a prime (100122110111921) 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, 62046 + ... + 14150903.

It is an arithmetic number, because the mean of its divisors is an integer number (9535468155000).

Almost surely, 2^{100122110111121} is an apocalyptic number.

It is an amenable number.

100122110111121 is a deficient number, since it is larger than the sum of its proper divisors (52445380368879).

100122110111121 is a wasteful number, since it uses less digits than its factorization.

100122110111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14548408.

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

Adding to 100122110111121 its reverse (121111011221001), we get a palindrome (221233121332122).

The spelling of 100122110111121 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-one".