110111112 has 48 divisors (see below), whose sum is σ = 306284940. Its totient is φ = 35710848.

The previous prime is 110111107. The next prime is 110111119. The reversal of 110111112 is 211111011.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 25948836 = 9174^2 + 5094^2 .

It is a super-3 number, since 3×110111112³ (a number of 25 digits) contains 333 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 = 110111094 and 110111103.

It is not an unprimeable number, because it can be changed into a prime (110111119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18003 + ... + 23330.

Almost surely, 2^110111112 is an apocalyptic number.

110111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110111112 is an abundant number, since it is smaller than the sum of its proper divisors (196173828).

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

110111112 is a wasteful number, since it uses less digits than its factorization.

110111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41382 (or 41375 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 110111112 is about 10493.3842014862. The cubic root of 110111112 is about 479.3032599755.

Adding to 110111112 its reverse (211111011), we get a palindrome (321222123).

The spelling of 110111112 in words is "one hundred ten million, one hundred eleven thousand, one hundred twelve".