210002021000 has 128 divisors (see below), whose sum is σ = 509237820000. Its totient is φ = 80962560000.

The previous prime is 210002020937. The next prime is 210002021017. The reversal of 210002021000 is 120200012.

It can be written as a sum of positive squares in 16 ways, for example, as 1461838756 + 208540182244 = 38234^2 + 456662^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17422976 + ... + 17435024.

Almost surely, 2^210002021000 is an apocalyptic number.

210002021000 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 210002021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254618910000).

210002021000 is an abundant number, since it is smaller than the sum of its proper divisors (299235799000).

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

210002021000 is a wasteful number, since it uses less digits than its factorization.

210002021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12700 (or 12686 counting only the distinct ones).

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

Adding to 210002021000 its reverse (120200012), we get a palindrome (210122221012).

The spelling of 210002021000 in words is "two hundred ten billion, two million, twenty-one thousand".