100002002121 has 72 divisors (see below), whose sum is σ = 175515878720. Its totient is φ = 53736224256.

The previous prime is 100002002099. The next prime is 100002002123. The reversal of 100002002121 is 121200200001.

It is not a de Polignac number, because 100002002121 - 2⁶ = 100002002057 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100002002123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36940650 + ... + 36943356.

Almost surely, 2^100002002121 is an apocalyptic number.

It is an amenable number.

100002002121 is a deficient number, since it is larger than the sum of its proper divisors (75513876599).

100002002121 is a wasteful number, since it uses less digits than its factorization.

100002002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4763 counting only the distinct ones).

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

Adding to 100002002121 its reverse (121200200001), we get a palindrome (221202202122).

The spelling of 100002002121 in words is "one hundred billion, two million, two thousand, one hundred twenty-one".