20210010122120 has 256 divisors, whose sum is σ = 56816417710080. Its totient is φ = 6299629056000.

The previous prime is 20210010122033. The next prime is 20210010122143. The reversal of 20210010122120 is 2122101001202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20210010122095 and 20210010122104.

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 63 ways as a sum of consecutive naturals, for example, 70075334 + ... + 70363146.

It is an arithmetic number, because the mean of its divisors is an integer number (221939131680).

Almost surely, 2^{20210010122120} is an apocalyptic number.

20210010122120 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 20210010122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28408208855040).

20210010122120 is an abundant number, since it is smaller than the sum of its proper divisors (36606407587960).

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

20210010122120 is a wasteful number, since it uses less digits than its factorization.

20210010122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288136 (or 288132 counting only the distinct ones).

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

Adding to 20210010122120 its reverse (2122101001202), we get a palindrome (22332111123322).

The spelling of 20210010122120 in words is "twenty trillion, two hundred ten billion, ten million, one hundred twenty-two thousand, one hundred twenty".