210021012002000 has 40 divisors (see below), whose sum is σ = 507830807025672. Its totient is φ = 84008404800000.

The previous prime is 210021012001987. The next prime is 210021012002027. The reversal of 210021012002000 is 200210120012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1987005990544 + 208034006011456 = 1409612^2 + 14423384^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52505251001 + ... + 52505255000.

Almost surely, 2^{210021012002000} is an apocalyptic number.

210021012002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021012002000 is an abundant number, since it is smaller than the sum of its proper divisors (297809795023672).

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

210021012002000 is a wasteful number, since it uses less digits than its factorization.

210021012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105010506024 (or 105010506008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210021012002000 its reverse (200210120012), we get a palindrome (210221222122012).

The spelling of 210021012002000 in words is "two hundred ten trillion, twenty-one billion, twelve million, two thousand".