210002010102100 has 36 divisors (see below), whose sum is σ = 455718360955900. Its totient is φ = 83998223573760.

The previous prime is 210002010101959. The next prime is 210002010102103. The reversal of 210002010102100 is 1201010200012.

It can be written as a sum of positive squares in 6 ways, for example, as 14020321674384 + 195981688427716 = 3744372^2 + 13999346^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002010102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28982655 + ... + 35496454.

Almost surely, 2^{210002010102100} is an apocalyptic number.

210002010102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002010102100 is an abundant number, since it is smaller than the sum of its proper divisors (245716350853800).

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

210002010102100 is a wasteful number, since it uses less digits than its factorization.

210002010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64511692 (or 64511685 counting only the distinct ones).

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

Adding to 210002010102100 its reverse (1201010200012), we get a palindrome (211203020302112).

The spelling of 210002010102100 in words is "two hundred ten trillion, two billion, ten million, one hundred two thousand, one hundred".