100100112 has 80 divisors (see below), whose sum is σ = 305754240. Its totient is φ = 27611136.

The previous prime is 100100111. The next prime is 100100149. The reversal of 100100112 is 211001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100100112.

It is not an unprimeable number, because it can be changed into a prime (100100111) 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 15 ways as a sum of consecutive naturals, for example, 4608 + ... + 14880.

It is an arithmetic number, because the mean of its divisors is an integer number (3821928).

Almost surely, 2^100100112 is an apocalyptic number.

100100112 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 100100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152877120).

100100112 is an abundant number, since it is smaller than the sum of its proper divisors (205654128).

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

100100112 is a wasteful number, since it uses less digits than its factorization.

100100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100100112 is about 10005.0043478251. The cubic root of 100100112 is about 464.3137246150.

Adding to 100100112 its reverse (211001001), we get a palindrome (311101113).

The spelling of 100100112 in words is "one hundred million, one hundred thousand, one hundred twelve".