210010202100100 has 36 divisors (see below), whose sum is σ = 471436695065700. Its totient is φ = 81107388396160.

The previous prime is 210010202100067. The next prime is 210010202100113. The reversal of 210010202100100 is 1001202010012.

It can be written as a sum of positive squares in 6 ways, for example, as 10633768814916 + 199376433285184 = 3260946^2 + 14120072^2 .

It is a super-2 number, since 2×210010202100100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36208652635 + ... + 36208658434.

It is an arithmetic number, because the mean of its divisors is an integer number (13095463751825).

Almost surely, 2^{210010202100100} is an apocalyptic number.

210010202100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010202100100 is an abundant number, since it is smaller than the sum of its proper divisors (261426492965600).

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

210010202100100 is a wasteful number, since it uses less digits than its factorization.

210010202100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72417311112 (or 72417311105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210010202100100 its reverse (1001202010012), we get a palindrome (211011404110112).

The spelling of 210010202100100 in words is "two hundred ten trillion, ten billion, two hundred two million, one hundred thousand, one hundred".