210010112200100 has 36 divisors (see below), whose sum is σ = 471436493255700. Its totient is φ = 81107353676160.

The previous prime is 210010112200087. The next prime is 210010112200103. The reversal of 210010112200100 is 1002211010012.

It can be written as a sum of positive squares in 6 ways, for example, as 2190613125184 + 207819499074916 = 1480072^2 + 14415946^2 .

It is not an unprimeable number, because it can be changed into a prime (210010112200103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36208637135 + ... + 36208642934.

Almost surely, 2^{210010112200100} is an apocalyptic number.

210010112200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010112200100 is an abundant number, since it is smaller than the sum of its proper divisors (261426381055600).

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

210010112200100 is a wasteful number, since it uses less digits than its factorization.

210010112200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72417280112 (or 72417280105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210010112200100 its reverse (1002211010012), we get a palindrome (211012323210112).

The spelling of 210010112200100 in words is "two hundred ten trillion, ten billion, one hundred twelve million, two hundred thousand, one hundred".