210021000210000 has 600 divisors, whose sum is σ = 839511435597120. Its totient is φ = 47998347264000.

The previous prime is 210021000209953. The next prime is 210021000210001. The reversal of 210021000210000 is 12000120012.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210021000210001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 5933952304 + ... + 5933987696.

Almost surely, 2^{210021000210000} is an apocalyptic number.

210021000210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210021000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419755717798560).

210021000210000 is an abundant number, since it is smaller than the sum of its proper divisors (629490435387120).

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

210021000210000 is a wasteful number, since it uses less digits than its factorization.

210021000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44853 (or 44829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210021000210000 its reverse (12000120012), we get a palindrome (210033000330012).

The spelling of 210021000210000 in words is "two hundred ten trillion, twenty-one billion, two hundred ten thousand".