112100112 has 100 divisors (see below), whose sum is σ = 329547856. Its totient is φ = 36780480.

The previous prime is 112100111. The next prime is 112100143. The reversal of 112100112 is 211001211.

It is a happy number.

It is a super-2 number, since 2×112100112² = 25132870220825088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112100094 and 112100103.

It is not an unprimeable number, because it can be changed into a prime (112100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86187 + ... + 87477.

Almost surely, 2^112100112 is an apocalyptic number.

112100112 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 112100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164773928).

112100112 is an abundant number, since it is smaller than the sum of its proper divisors (217447744).

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

112100112 is a wasteful number, since it uses less digits than its factorization.

112100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 112100112 is about 10587.7340351937. The cubic root of 112100112 is about 482.1720315891.

Adding to 112100112 its reverse (211001211), we get a palindrome (323101323).

The spelling of 112100112 in words is "one hundred twelve million, one hundred thousand, one hundred twelve".