112022102112 has 96 divisors (see below), whose sum is σ = 298341519840. Its totient is φ = 36797644800.

The previous prime is 112022102111. The next prime is 112022102131. The reversal of 112022102112 is 211201220211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 112022102091 and 112022102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112022102111) 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, 9027112 + ... + 9039512.

It is an arithmetic number, because the mean of its divisors is an integer number (3107724165).

Almost surely, 2^112022102112 is an apocalyptic number.

112022102112 is a gapful number since it is divisible by the number (12) 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 112022102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149170759920).

112022102112 is an abundant number, since it is smaller than the sum of its proper divisors (186319417728).

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

112022102112 is a wasteful number, since it uses less digits than its factorization.

112022102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112022102112 its reverse (211201220211), we get a palindrome (323223322323).

The spelling of 112022102112 in words is "one hundred twelve billion, twenty-two million, one hundred two thousand, one hundred twelve".