210221001200 has 120 divisors (see below), whose sum is σ = 577341000192. Its totient is φ = 72059016960.

The previous prime is 210221001163. The next prime is 210221001209. The reversal of 210221001200 is 2100122012.

It is a happy number.

210221001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210221001209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21518717 + ... + 21528483.

Almost surely, 2^210221001200 is an apocalyptic number.

210221001200 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 210221001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288670500096).

210221001200 is an abundant number, since it is smaller than the sum of its proper divisors (367119998992).

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

210221001200 is a wasteful number, since it uses less digits than its factorization.

210221001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17479 (or 17468 counting only the distinct ones).

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

Adding to 210221001200 its reverse (2100122012), we get a palindrome (212321123212).

The spelling of 210221001200 in words is "two hundred ten billion, two hundred twenty-one million, one thousand, two hundred".