201221110000120 has 128 divisors (see below), whose sum is σ = 549388602086400. Its totient is φ = 64750984759296.

The previous prime is 201221110000067. The next prime is 201221110000147. The reversal of 201221110000120 is 21000011122102.

It is a self number, because there is not a number n which added to its sum of digits gives 201221110000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57167682 + ... + 60585361.

It is an arithmetic number, because the mean of its divisors is an integer number (4292098453800).

Almost surely, 2^{201221110000120} is an apocalyptic number.

201221110000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221110000120 is an abundant number, since it is smaller than the sum of its proper divisors (348167492086280).

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

201221110000120 is a wasteful number, since it uses less digits than its factorization.

201221110000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117753437 (or 117753433 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201221110000120 its reverse (21000011122102), we get a palindrome (222221121122222).

The spelling of 201221110000120 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty", and thus it is an aban number.