210110102002000 has 40 divisors (see below), whose sum is σ = 508046226645672. Its totient is φ = 84044040800000.

The previous prime is 210110102001977. The next prime is 210110102002079. The reversal of 210110102002000 is 200201011012.

210110102002000 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 4 ways, for example, as 3342037359376 + 206768064642624 = 1828124^2 + 14379432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52527523501 + ... + 52527527500.

Almost surely, 2^{210110102002000} is an apocalyptic number.

210110102002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210110102002000 is an abundant number, since it is smaller than the sum of its proper divisors (297936124643672).

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

210110102002000 is a wasteful number, since it uses less digits than its factorization.

210110102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105055051024 (or 105055051008 counting only the distinct ones).

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

Adding to 210110102002000 its reverse (200201011012), we get a palindrome (210310303013012).

The spelling of 210110102002000 in words is "two hundred ten trillion, one hundred ten billion, one hundred two million, two thousand".