112120100 has 72 divisors (see below), whose sum is σ = 260561448. Its totient is φ = 41728000.

The previous prime is 112120093. The next prime is 112120103. The reversal of 112120100 is 1021211.

It can be written as a sum of positive squares in 12 ways, for example, as 6071296 + 106048804 = 2464^2 + 10298^2 .

It is not an unprimeable number, because it can be changed into a prime (112120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171374 + ... + 172026.

It is an arithmetic number, because the mean of its divisors is an integer number (3618909).

Almost surely, 2^112120100 is an apocalyptic number.

112120100 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 112120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130280724).

112120100 is an abundant number, since it is smaller than the sum of its proper divisors (148441348).

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

112120100 is a wasteful number, since it uses less digits than its factorization.

112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 112120100 is about 10588.6779155851. The cubic root of 112120100 is about 482.2006877657.

Adding to 112120100 its reverse (1021211), we get a palindrome (113141311).

The spelling of 112120100 in words is "one hundred twelve million, one hundred twenty thousand, one hundred".