110111000010112 has 128 divisors (see below), whose sum is σ = 224072226443520. Its totient is φ = 53885328537600.

The previous prime is 110111000010107. The next prime is 110111000010119. The reversal of 110111000010112 is 211010000111011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×110111000010112³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111000010119) by changing a digit.

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, 1307984662 + ... + 1308068842.

It is an arithmetic number, because the mean of its divisors is an integer number (1750564269090).

Almost surely, 2^{110111000010112} 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 110111000010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112036113221760).

110111000010112 is an abundant number, since it is smaller than the sum of its proper divisors (113961226433408).

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

110111000010112 is an equidigital number, since it uses as much as digits as its factorization.

110111000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85312 (or 85300 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110111000010112 its reverse (211010000111011), we get a palindrome (321121000121123).

The spelling of 110111000010112 in words is "one hundred ten trillion, one hundred eleven billion, ten thousand, one hundred twelve".