210100102100 has 72 divisors (see below), whose sum is σ = 521108605248. Its totient is φ = 72025977600.

The previous prime is 210100102097. The next prime is 210100102111. The reversal of 210100102100 is 1201001012.

210100102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11170304 + ... + 11189096.

Almost surely, 2^210100102100 is an apocalyptic number.

210100102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100102100 is an abundant number, since it is smaller than the sum of its proper divisors (311008503148).

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

210100102100 is a wasteful number, since it uses less digits than its factorization.

210100102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34785 (or 34778 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210100102100 its reverse (1201001012), we get a palindrome (211301103112).

The spelling of 210100102100 in words is "two hundred ten billion, one hundred million, one hundred two thousand, one hundred".