112120111120100 has 72 divisors (see below), whose sum is σ = 245729487181248. Its totient is φ = 44400402928000.

The previous prime is 112120111119967. The next prime is 112120111120109. The reversal of 112120111120100 is 1021111021211.

It is not an unprimeable number, because it can be changed into a prime (112120111120109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125836367 + ... + 126724233.

It is an arithmetic number, because the mean of its divisors is an integer number (3412909544184).

Almost surely, 2^{112120111120100} is an apocalyptic number.

112120111120100 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 112120111120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122864743590624).

112120111120100 is an abundant number, since it is smaller than the sum of its proper divisors (133609376061148).

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

112120111120100 is a wasteful number, since it uses less digits than its factorization.

112120111120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900485 (or 900478 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112120111120100 its reverse (1021111021211), we get a palindrome (113141222141311).

It can be divided in two parts, 1121201111 and 20100, that added together give a palindrome (1121221211).

The spelling of 112120111120100 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty thousand, one hundred".