210120000221 has 16 divisors (see below), whose sum is σ = 230456165040. Its totient is φ = 190688117760.

The previous prime is 210120000203. The next prime is 210120000227. The reversal of 210120000221 is 122000021012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37787083321 + 172332916900 = 194389^2 + 415130^2 .

It is a cyclic number.

It is not a de Polignac number, because 210120000221 - 2⁶ = 210120000157 is a prime.

It is a super-3 number, since 3×210120000221³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120000227) by changing a digit.

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, 91691 + ... + 654711.

It is an arithmetic number, because the mean of its divisors is an integer number (14403510315).

Almost surely, 2^210120000221 is an apocalyptic number.

It is an amenable number.

210120000221 is a deficient number, since it is larger than the sum of its proper divisors (20336164819).

210120000221 is a wasteful number, since it uses less digits than its factorization.

210120000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563824.

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

Adding to 210120000221 its reverse (122000021012), we get a palindrome (332120021233).

The spelling of 210120000221 in words is "two hundred ten billion, one hundred twenty million, two hundred twenty-one", and thus it is an aban number.