221210210000 has 100 divisors (see below), whose sum is σ = 576770227572. Its totient is φ = 81677568000.

The previous prime is 221210209993. The next prime is 221210210047. The reversal of 221210210000 is 12012122.

It is a happy number.

221210210000 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 10 ways, for example, as 172264842304 + 48945367696 = 415048^2 + 221236^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 720809 + ... + 980808.

Almost surely, 2^221210210000 is an apocalyptic number.

221210210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221210210000 is an abundant number, since it is smaller than the sum of its proper divisors (355560017572).

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

221210210000 is a wasteful number, since it uses less digits than its factorization.

221210210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701658 (or 1701637 counting only the distinct ones).

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

Adding to 221210210000 its reverse (12012122), we get a palindrome (221222222122).

The spelling of 221210210000 in words is "two hundred twenty-one billion, two hundred ten million, two hundred ten thousand".