210010102100 has 18 divisors (see below), whose sum is σ = 455721921774. Its totient is φ = 84004040800.

The previous prime is 210010102033. The next prime is 210010102147. The reversal of 210010102100 is 1201010012.

210010102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5776608016 + 204233494084 = 76004^2 + 451922^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1050050411 + ... + 1050050610.

It is an arithmetic number, because the mean of its divisors is an integer number (25317884543).

Almost surely, 2^210010102100 is an apocalyptic number.

210010102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010102100 is an abundant number, since it is smaller than the sum of its proper divisors (245711819674).

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

210010102100 is a wasteful number, since it uses less digits than its factorization.

210010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100101035 (or 2100101028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210010102100 its reverse (1201010012), we get a palindrome (211211112112).

The spelling of 210010102100 in words is "two hundred ten billion, ten million, one hundred two thousand, one hundred".