201020202010120 has 128 divisors (see below), whose sum is σ = 463836942455040. Its totient is φ = 78364693693440.

The previous prime is 201020202010093. The next prime is 201020202010129. The reversal of 201020202010120 is 21010202020102.

It is a happy number.

201020202010120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201020202010120.

It is not an unprimeable number, because it can be changed into a prime (201020202010129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651883917 + ... + 1652005603.

It is an arithmetic number, because the mean of its divisors is an integer number (3623726112930).

Almost surely, 2^{201020202010120} is an apocalyptic number.

201020202010120 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 201020202010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231918471227520).

201020202010120 is an abundant number, since it is smaller than the sum of its proper divisors (262816740444920).

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

201020202010120 is a wasteful number, since it uses less digits than its factorization.

201020202010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123855 (or 123851 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201020202010120 its reverse (21010202020102), we get a palindrome (222030404030222).

The spelling of 201020202010120 in words is "two hundred one trillion, twenty billion, two hundred two million, ten thousand, one hundred twenty".