112022120112100 has 288 divisors, whose sum is σ = 272672917816320. Its totient is φ = 39601648320000.

The previous prime is 112022120112011. The next prime is 112022120112107. The reversal of 112022120112100 is 1211021220211.

112022120112100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (112022120112107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5814186667 + ... + 5814205933.

It is an arithmetic number, because the mean of its divisors is an integer number (946780964640).

Almost surely, 2^{112022120112100} is an apocalyptic number.

112022120112100 is a gapful number since it is divisible by the number (10) 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 112022120112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136336458908160).

112022120112100 is an abundant number, since it is smaller than the sum of its proper divisors (160650797704220).

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

112022120112100 is a wasteful number, since it uses less digits than its factorization.

112022120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20339 (or 20332 counting only the distinct ones).

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

Adding to 112022120112100 its reverse (1211021220211), we get a palindrome (113233141332311).

The spelling of 112022120112100 in words is "one hundred twelve trillion, twenty-two billion, one hundred twenty million, one hundred twelve thousand, one hundred".