201221022120 has 64 divisors (see below), whose sum is σ = 605183771520. Its totient is φ = 53523765504.

The previous prime is 201221022097. The next prime is 201221022131. The reversal of 201221022120 is 21220122102.

201221022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201221022120.

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 15 ways as a sum of consecutive naturals, for example, 2064252 + ... + 2159531.

It is an arithmetic number, because the mean of its divisors is an integer number (9455996430).

Almost surely, 2^201221022120 is an apocalyptic number.

201221022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221022120 is an abundant number, since it is smaller than the sum of its proper divisors (403962749400).

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

201221022120 is a wasteful number, since it uses less digits than its factorization.

201221022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224194 (or 4224190 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201221022120 its reverse (21220122102), we get a palindrome (222441144222).

The spelling of 201221022120 in words is "two hundred one billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".