110112110220112 has 320 divisors, whose sum is σ = 288242391306240. Its totient is φ = 39586748198400.

The previous prime is 110112110220089. The next prime is 110112110220137. The reversal of 110112110220112 is 211022011211011.

It is a super-2 number, since 2×110112110220112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10455992287 + ... + 10456002817.

It is an arithmetic number, because the mean of its divisors is an integer number (900757472832).

Almost surely, 2^{110112110220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112110220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144121195653120).

110112110220112 is an abundant number, since it is smaller than the sum of its proper divisors (178130281086128).

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

110112110220112 is a wasteful number, since it uses less digits than its factorization.

110112110220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14459 (or 14427 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110112110220112 its reverse (211022011211011), we get a palindrome (321134121431123).

It can be divided in two parts, 11011 and 2110220112, that multiplied together give a palindrome (23235633653232).

The spelling of 110112110220112 in words is "one hundred ten trillion, one hundred twelve billion, one hundred ten million, two hundred twenty thousand, one hundred twelve".