110100221112 has 192 divisors, whose sum is σ = 327490007040. Its totient is φ = 30741984000.

The previous prime is 110100221107. The next prime is 110100221117. The reversal of 110100221112 is 211122001011.

110100221112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110100221107) and next prime (110100221117).

It is a super-2 number, since 2×110100221112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110100221117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56431737 + ... + 56433687.

It is an arithmetic number, because the mean of its divisors is an integer number (1705677120).

Almost surely, 2^110100221112 is an apocalyptic number.

110100221112 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 110100221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163745003520).

110100221112 is an abundant number, since it is smaller than the sum of its proper divisors (217389785928).

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

110100221112 is a wasteful number, since it uses less digits than its factorization.

110100221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110100221112 its reverse (211122001011), we get a palindrome (321222222123).

The spelling of 110100221112 in words is "one hundred ten billion, one hundred million, two hundred twenty-one thousand, one hundred twelve".