100111121010121 has 16 divisors (see below), whose sum is σ = 108815115301200. Its totient is φ = 91550651044608.

The previous prime is 100111121010091. The next prime is 100111121010127. The reversal of 100111121010121 is 121010121111001.

It can be written as a sum of positive squares in 8 ways, for example, as 872944519225 + 99238176490896 = 934315^2 + 9961836^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111121010121 - 2¹³ = 100111121001929 is a prime.

It is a super-2 number, since 2×100111121010121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111121010127) 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, 6437715 + ... + 15545623.

It is an arithmetic number, because the mean of its divisors is an integer number (6800944706325).

Almost surely, 2^{100111121010121} is an apocalyptic number.

It is an amenable number.

100111121010121 is a deficient number, since it is larger than the sum of its proper divisors (8703994291079).

100111121010121 is a wasteful number, since it uses less digits than its factorization.

100111121010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115788.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111121010121 its reverse (121010121111001), we get a palindrome (221121242121122).

The spelling of 100111121010121 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, ten thousand, one hundred twenty-one".