112100222101120 has 128 divisors (see below), whose sum is σ = 295246862714880. Its totient is φ = 40360115712000.

The previous prime is 112100222101117. The next prime is 112100222101129. The reversal of 112100222101120 is 21101222001211.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 112100222101094 and 112100222101103.

It is not an unprimeable number, because it can be changed into a prime (112100222101129) 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, 78117312 + ... + 79539391.

It is an arithmetic number, because the mean of its divisors is an integer number (2306616114960).

Almost surely, 2^{112100222101120} is an apocalyptic number.

112100222101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100222101120 is an abundant number, since it is smaller than the sum of its proper divisors (183146640613760).

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

112100222101120 is a wasteful number, since it uses less digits than its factorization.

112100222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157656834 (or 157656822 counting only the distinct ones).

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

Adding to 112100222101120 its reverse (21101222001211), we get a palindrome (133201444102331).

Subtracting from 112100222101120 its reverse (21101222001211), we obtain a palindrome (90999000099909).

The spelling of 112100222101120 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".