100002200121 has 12 divisors (see below), whose sum is σ = 144969097572. Its totient is φ = 66427452576.

The previous prime is 100002200087. The next prime is 100002200147. The reversal of 100002200121 is 121002200001.

It can be written as a sum of positive squares in 2 ways, for example, as 10002200121 + 90000000000 = 100011^2 + 300000^2 .

It is not a de Polignac number, because 100002200121 - 2⁷ = 100002199993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100002300121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20054106 + ... + 20059091.

It is an arithmetic number, because the mean of its divisors is an integer number (12080758131).

Almost surely, 2^100002200121 is an apocalyptic number.

It is an amenable number.

100002200121 is a deficient number, since it is larger than the sum of its proper divisors (44966897451).

100002200121 is a wasteful number, since it uses less digits than its factorization.

100002200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40113480 (or 40113477 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002200121 its reverse (121002200001), we get a palindrome (221004400122).

The spelling of 100002200121 in words is "one hundred billion, two million, two hundred thousand, one hundred twenty-one".