12110112100 has 72 divisors (see below), whose sum is σ = 26587626408. Its totient is φ = 4787328000.

The previous prime is 12110112031. The next prime is 12110112101. The reversal of 12110112100 is 121101121.

It can be written as a sum of positive squares in 12 ways, for example, as 5271616 + 12104840484 = 2296^2 + 110022^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12110112101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11038752 + ... + 11039848.

It is an arithmetic number, because the mean of its divisors is an integer number (369272589).

Almost surely, 2^12110112100 is an apocalyptic number.

12110112100 is a gapful number since it is divisible by the number (10) 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 12110112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293813204).

12110112100 is an abundant number, since it is smaller than the sum of its proper divisors (14477514308).

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

12110112100 is a wasteful number, since it uses less digits than its factorization.

12110112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12110112100 its reverse (121101121), we get a palindrome (12231213221).

12110112100 divided by its reverse (121101121) gives a square (100 = 10²).

The spelling of 12110112100 in words is "twelve billion, one hundred ten million, one hundred twelve thousand, one hundred".