220100202000120 has 256 divisors, whose sum is σ = 729656910259200. Its totient is φ = 52771134689280.

The previous prime is 220100202000109. The next prime is 220100202000121. The reversal of 220100202000120 is 21000202001022.

220100202000120 is digitally balanced in base 2, 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 = 220100202000096 and 220100202000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100202000121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19511860 + ... + 28651580.

It is an arithmetic number, because the mean of its divisors is an integer number (2850222305700).

Almost surely, 2^{220100202000120} is an apocalyptic number.

220100202000120 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 220100202000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364828455129600).

220100202000120 is an abundant number, since it is smaller than the sum of its proper divisors (509556708259080).

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

220100202000120 is a wasteful number, since it uses less digits than its factorization.

220100202000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9140150 (or 9140146 counting only the distinct ones).

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

Adding to 220100202000120 its reverse (21000202001022), we get a palindrome (241100404001142).

The spelling of 220100202000120 in words is "two hundred twenty trillion, one hundred billion, two hundred two million, one hundred twenty", and thus it is an aban number.