20112112102120 has 64 divisors (see below), whose sum is σ = 45808170408000. Its totient is φ = 7946060279808.

The previous prime is 20112112102109. The next prime is 20112112102123. The reversal of 20112112102120 is 2120121121102.

It is a junction number, because it is equal to n+sod(n) for n = 20112112102094 and 20112112102103.

It is not an unprimeable number, because it can be changed into a prime (20112112102123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13533271 + ... + 14945689.

It is an arithmetic number, because the mean of its divisors is an integer number (715752662625).

Almost surely, 2^{20112112102120} is an apocalyptic number.

20112112102120 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 20112112102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22904085204000).

20112112102120 is an abundant number, since it is smaller than the sum of its proper divisors (25696058305880).

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

20112112102120 is a wasteful number, since it uses less digits than its factorization.

20112112102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416802 (or 1416798 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20112112102120 its reverse (2120121121102), we get a palindrome (22232233223222).

The spelling of 20112112102120 in words is "twenty trillion, one hundred twelve billion, one hundred twelve million, one hundred two thousand, one hundred twenty".