100002121200001 has 16 divisors (see below), whose sum is σ = 102311134398720. Its totient is φ = 97700774244480.

The previous prime is 100002121199933. The next prime is 100002121200053.

100002121200001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100002121200001 - 2²⁷ = 100001986982273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100002121200061) 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, 81954711 + ... + 83165971.

It is an arithmetic number, because the mean of its divisors is an integer number (6394445899920).

Almost surely, 2^{100002121200001} is an apocalyptic number.

It is an amenable number.

100002121200001 is a deficient number, since it is larger than the sum of its proper divisors (2309013198719).

100002121200001 is a wasteful number, since it uses less digits than its factorization.

100002121200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214424.

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 100002121200001 in words is "one hundred trillion, two billion, one hundred twenty-one million, two hundred thousand, one".