20111220102112 has 96 divisors (see below), whose sum is σ = 41107351219200. Its totient is φ = 9675027379200.

The previous prime is 20111220102049. The next prime is 20111220102167. The reversal of 20111220102112 is 21120102211102.

It is a super-2 number, since 2×20111220102112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600058964 + ... + 1600071532.

It is an arithmetic number, because the mean of its divisors is an integer number (428201575200).

Almost surely, 2^{20111220102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111220102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553675609600).

20111220102112 is an abundant number, since it is smaller than the sum of its proper divisors (20996131117088).

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

20111220102112 is a wasteful number, since it uses less digits than its factorization.

20111220102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21800 (or 21792 counting only the distinct ones).

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

Adding to 20111220102112 its reverse (21120102211102), we get a palindrome (41231322313214).

The spelling of 20111220102112 in words is "twenty trillion, one hundred eleven billion, two hundred twenty million, one hundred two thousand, one hundred twelve".