210010321000 has 64 divisors (see below), whose sum is σ = 492519690000. Its totient is φ = 83816857600.

The previous prime is 210010320931. The next prime is 210010321019. The reversal of 210010321000 is 123010012.

210010321000 = T₂₅ + T₂₆ + ... + T₁₀₈₀₀.

It can be written as a sum of positive squares in 8 ways, for example, as 52145549316 + 157864771684 = 228354^2 + 397322^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215136 + ... + 682864.

Almost surely, 2^210010321000 is an apocalyptic number.

210010321000 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 210010321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246259845000).

210010321000 is an abundant number, since it is smaller than the sum of its proper divisors (282509369000).

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

210010321000 is a wasteful number, since it uses less digits than its factorization.

210010321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468199 (or 468185 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 210010321000 its reverse (123010012), we get a palindrome (210133331012).

The spelling of 210010321000 in words is "two hundred ten billion, ten million, three hundred twenty-one thousand".