20200202100120 has 768 divisors, whose sum is σ = 74234285798400. Its totient is φ = 4306625003520.

The previous prime is 20200202100083. The next prime is 20200202100131. The reversal of 20200202100120 is 2100120200202.

20200202100120 is digitally balanced in base 6, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 20200202100096 and 20200202100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16653092634 + ... + 16653093846.

It is an arithmetic number, because the mean of its divisors is an integer number (96659226300).

Almost surely, 2^{20200202100120} is an apocalyptic number.

20200202100120 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 20200202100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37117142899200).

20200202100120 is an abundant number, since it is smaller than the sum of its proper divisors (54034083698280).

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

20200202100120 is a wasteful number, since it uses less digits than its factorization.

20200202100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20200202100120 its reverse (2100120200202), we get a palindrome (22300322300322).

The spelling of 20200202100120 in words is "twenty trillion, two hundred billion, two hundred two million, one hundred thousand, one hundred twenty".