210000100 has 18 divisors (see below), whose sum is σ = 455700434. Its totient is φ = 84000000.

The previous prime is 210000067. The next prime is 210000113. The reversal of 210000100 is 1000012.

It can be written as a sum of positive squares in 3 ways, for example, as 72829156 + 137170944 = 8534^2 + 11712^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 210000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1049901 + ... + 1050100.

Almost surely, 2^210000100 is an apocalyptic number.

210000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000100 is an abundant number, since it is smaller than the sum of its proper divisors (245700334).

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

210000100 is a wasteful number, since it uses less digits than its factorization.

210000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100015 (or 2100008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 210000100 is about 14491.3801965168. The cubic root of 210000100 is about 594.3922896243.

Adding to 210000100 its reverse (1000012), we get a palindrome (211000112).

The spelling of 210000100 in words is "two hundred ten million, one hundred", and thus it is an aban number.