100112110 has 32 divisors (see below), whose sum is σ = 208438272. Its totient is φ = 33908640.

The previous prime is 100112107. The next prime is 100112141. The reversal of 100112110 is 11211001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100112093 and 100112102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2806 + ... + 14425.

It is an arithmetic number, because the mean of its divisors is an integer number (6513696).

Almost surely, 2^100112110 is an apocalyptic number.

100112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112110 is an abundant number, since it is smaller than the sum of its proper divisors (108326162).

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

100112110 is a wasteful number, since it uses less digits than its factorization.

100112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17328.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 100112110 is about 10005.6039297985. The cubic root of 100112110 is about 464.3322747558.

Adding to 100112110 its reverse (11211001), we get a palindrome (111323111).

It can be divided in two parts, 10011 and 2110, that added together give a palindrome (12121).

The spelling of 100112110 in words is "one hundred million, one hundred twelve thousand, one hundred ten".