201020021120120 has 64 divisors (see below), whose sum is σ = 461994358579200. Its totient is φ = 78684249536640.

The previous prime is 201020021120111. The next prime is 201020021120123. The reversal of 201020021120120 is 21021120020102.

It is a super-2 number, since 2×201020021120120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201020021120095 and 201020021120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020021120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2633855 + ... + 20223185.

It is an arithmetic number, because the mean of its divisors is an integer number (7218661852800).

Almost surely, 2^{201020021120120} is an apocalyptic number.

201020021120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020021120120 is an abundant number, since it is smaller than the sum of its proper divisors (260974337459080).

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

201020021120120 is a wasteful number, since it uses less digits than its factorization.

201020021120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17595468 (or 17595464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201020021120120 its reverse (21021120020102), we get a palindrome (222041141140222).

The spelling of 201020021120120 in words is "two hundred one trillion, twenty billion, twenty-one million, one hundred twenty thousand, one hundred twenty".