100201102121 has 16 divisors (see below), whose sum is σ = 103379169024. Its totient is φ = 97068996864.

The previous prime is 100201102117. The next prime is 100201102139. The reversal of 100201102121 is 121201102001.

It is a cyclic number.

It is not a de Polignac number, because 100201102121 - 2² = 100201102117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100201102171) 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, 4007966 + ... + 4032888.

It is an arithmetic number, because the mean of its divisors is an integer number (6461198064).

Almost surely, 2^100201102121 is an apocalyptic number.

It is an amenable number.

100201102121 is a deficient number, since it is larger than the sum of its proper divisors (3178066903).

100201102121 is a wasteful number, since it uses less digits than its factorization.

100201102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25840.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201102121 its reverse (121201102001), we get a palindrome (221402204122).

The spelling of 100201102121 in words is "one hundred billion, two hundred one million, one hundred two thousand, one hundred twenty-one".