210212210000 has 200 divisors, whose sum is σ = 549931171944. Its totient is φ = 77356800000.

The previous prime is 210212209931. The next prime is 210212210027. The reversal of 210212210000 is 12212012.

It is a happy number.

210212210000 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 20 ways, for example, as 114119649856 + 96092560144 = 337816^2 + 309988^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41207450 + ... + 41212550.

Almost surely, 2^210212210000 is an apocalyptic number.

210212210000 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 210212210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274965585972).

210212210000 is an abundant number, since it is smaller than the sum of its proper divisors (339718961944).

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

210212210000 is a wasteful number, since it uses less digits than its factorization.

210212210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5438 counting only the distinct ones).

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

Adding to 210212210000 its reverse (12212012), we get a palindrome (210224422012).

The spelling of 210212210000 in words is "two hundred ten billion, two hundred twelve million, two hundred ten thousand".