210102000000100 has 72 divisors (see below), whose sum is σ = 492383126166120. Its totient is φ = 77356360519680.

The previous prime is 210102000000077. The next prime is 210102000000107. The reversal of 210102000000100 is 1000000201012.

It can be written as a sum of positive squares in 12 ways, for example, as 46522657845504 + 163579342154596 = 6820752^2 + 12789814^2 .

It is not an unprimeable number, because it can be changed into a prime (210102000000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228460255 + ... + 229378054.

It is an arithmetic number, because the mean of its divisors is an integer number (6838654530085).

Almost surely, 2^{210102000000100} is an apocalyptic number.

210102000000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210102000000100 is an abundant number, since it is smaller than the sum of its proper divisors (282281126166020).

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

210102000000100 is a wasteful number, since it uses less digits than its factorization.

210102000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457838689 (or 457838682 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 210102000000100 its reverse (1000000201012), we get a palindrome (211102000201112).

The spelling of 210102000000100 in words is "two hundred ten trillion, one hundred two billion, one hundred", and thus it is an aban number.