100202112121 has 4 divisors (see below), whose sum is σ = 100202882932. Its totient is φ = 100201341312.

The previous prime is 100202112103. The next prime is 100202112149. The reversal of 100202112121 is 121211202001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 121211202001 = 1721 ⋅70430681.

It can be written as a sum of positive squares in 2 ways, for example, as 55750293225 + 44451818896 = 236115^2 + 210836^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202112121 - 2¹⁷ = 100201981049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202112191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137076 + ... + 468181.

It is an arithmetic number, because the mean of its divisors is an integer number (25050720733).

Almost surely, 2^100202112121 is an apocalyptic number.

It is an amenable number.

100202112121 is a deficient number, since it is larger than the sum of its proper divisors (770811).

100202112121 is an equidigital number, since it uses as much as digits as its factorization.

100202112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770810.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100202112121 its reverse (121211202001), we get a palindrome (221413314122).

The spelling of 100202112121 in words is "one hundred billion, two hundred two million, one hundred twelve thousand, one hundred twenty-one".