210513300100 has 72 divisors (see below), whose sum is σ = 488474626248. Its totient is φ = 78467328000.

The previous prime is 210513300059. The next prime is 210513300119. The reversal of 210513300100 is 1003315012.

It can be written as a sum of positive squares in 12 ways, for example, as 5979619584 + 204533680516 = 77328^2 + 452254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441327 + ... + 784726.

It is an arithmetic number, because the mean of its divisors is an integer number (6784369809).

Almost surely, 2^210513300100 is an apocalyptic number.

210513300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210513300100 is an abundant number, since it is smaller than the sum of its proper divisors (277961326148).

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

210513300100 is a wasteful number, since it uses less digits than its factorization.

210513300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226185 (or 1226178 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 210513300100 its reverse (1003315012), we get a palindrome (211516615112).

The spelling of 210513300100 in words is "two hundred ten billion, five hundred thirteen million, three hundred thousand, one hundred".