20112102100120 has 256 divisors, whose sum is σ = 49428880128000. Its totient is φ = 7339696809984.

The previous prime is 20112102100061. The next prime is 20112102100141. The reversal of 20112102100120 is 2100120121102.

It is a self number, because there is not a number n which added to its sum of digits gives 20112102100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2386056066 + ... + 2386064494.

It is an arithmetic number, because the mean of its divisors is an integer number (193081563000).

Almost surely, 2^{20112102100120} is an apocalyptic number.

20112102100120 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 20112102100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24714440064000).

20112102100120 is an abundant number, since it is smaller than the sum of its proper divisors (29316778027880).

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

20112102100120 is a wasteful number, since it uses less digits than its factorization.

20112102100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9570 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20112102100120 its reverse (2100120121102), we get a palindrome (22212222221222).

The spelling of 20112102100120 in words is "twenty trillion, one hundred twelve billion, one hundred two million, one hundred thousand, one hundred twenty".