110112221201112 has 256 divisors, whose sum is σ = 330158139696000. Its totient is φ = 33802321158144.

The previous prime is 110112221201093. The next prime is 110112221201117. The reversal of 110112221201112 is 211102122211011.

It is a happy number.

It is a super-3 number, since 3×110112221201112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112221201117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2586654964 + ... + 2586697532.

Almost surely, 2^{110112221201112} is an apocalyptic number.

110112221201112 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 110112221201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165079069848000).

110112221201112 is an abundant number, since it is smaller than the sum of its proper divisors (220045918494888).

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

110112221201112 is a wasteful number, since it uses less digits than its factorization.

110112221201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44707 (or 44697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110112221201112 its reverse (211102122211011), we get a palindrome (321214343412123).

The spelling of 110112221201112 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred twelve".