201020220012120 has 128 divisors (see below), whose sum is σ = 605709118909440. Its totient is φ = 53370377648640.

The previous prime is 201020220012067. The next prime is 201020220012149. The reversal of 201020220012120 is 21210022020102.

It is a super-2 number, since 2×201020220012120² (a number of 29 digits) contains 22 as substring.

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 201020220012120.

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, 28676637 + ... + 34991283.

It is an arithmetic number, because the mean of its divisors is an integer number (4732102491480).

Almost surely, 2^{201020220012120} is an apocalyptic number.

201020220012120 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 201020220012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302854559454720).

201020220012120 is an abundant number, since it is smaller than the sum of its proper divisors (404688898897320).

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

201020220012120 is a wasteful number, since it uses less digits than its factorization.

201020220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315825 (or 6315821 counting only the distinct ones).

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

Adding to 201020220012120 its reverse (21210022020102), we get a palindrome (222230242032222).

The spelling of 201020220012120 in words is "two hundred one trillion, twenty billion, two hundred twenty million, twelve thousand, one hundred twenty".