100122211011121 has 48 divisors (see below), whose sum is σ = 109750834663680. Its totient is φ = 91290858347520.

The previous prime is 100122211011103. The next prime is 100122211011149. The reversal of 100122211011121 is 121110112221001.

It is not a de Polignac number, because 100122211011121 - 2⁵ = 100122211011089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122211011095 and 100122211011104.

It is not an unprimeable number, because it can be changed into a prime (100122211017121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3732964891 + ... + 3732991711.

It is an arithmetic number, because the mean of its divisors is an integer number (2286475722160).

Almost surely, 2^{100122211011121} is an apocalyptic number.

It is an amenable number.

100122211011121 is a deficient number, since it is larger than the sum of its proper divisors (9628623652559).

100122211011121 is a wasteful number, since it uses less digits than its factorization.

100122211011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27786 (or 27773 counting only the distinct ones).

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

Adding to 100122211011121 its reverse (121110112221001), we get a palindrome (221232323232122).

The spelling of 100122211011121 in words is "one hundred trillion, one hundred twenty-two billion, two hundred eleven million, eleven thousand, one hundred twenty-one".