100201202100 has 108 divisors (see below), whose sum is σ = 315891055116. Its totient is φ = 26565826560.

The previous prime is 100201202093. The next prime is 100201202141. The reversal of 100201202100 is 1202102001.

It can be written as a sum of positive squares in 6 ways, for example, as 328769424 + 99872432676 = 18132^2 + 316026^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166077 + ... + 477476.

It is an arithmetic number, because the mean of its divisors is an integer number (2924917177).

Almost surely, 2^100201202100 is an apocalyptic number.

100201202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201202100 is an abundant number, since it is smaller than the sum of its proper divisors (215689853016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100201202100 is a wasteful number, since it uses less digits than its factorization.

100201202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643746 (or 643736 counting only the distinct ones).

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

Adding to 100201202100 its reverse (1202102001), we get a palindrome (101403304101).

The spelling of 100201202100 in words is "one hundred billion, two hundred one million, two hundred two thousand, one hundred".