110122010112 has 160 divisors (see below), whose sum is σ = 295614329472. Its totient is φ = 36428120064.

The previous prime is 110122010101. The next prime is 110122010113. The reversal of 110122010112 is 211010221011.

110122010112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110122010112² (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 (110122010113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163628208 + ... + 163628880.

Almost surely, 2^110122010112 is an apocalyptic number.

110122010112 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 110122010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147807164736).

110122010112 is an abundant number, since it is smaller than the sum of its proper divisors (185492319360).

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

110122010112 is an equidigital number, since it uses as much as digits as its factorization.

110122010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1332 counting only the distinct ones).

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

Adding to 110122010112 its reverse (211010221011), we get a palindrome (321132231123).

The spelling of 110122010112 in words is "one hundred ten billion, one hundred twenty-two million, ten thousand, one hundred twelve".