12112133220100 has 36 divisors (see below), whose sum is σ = 26283480156724. Its totient is φ = 4844825441280.

The previous prime is 12112133220079. The next prime is 12112133220137. The reversal of 12112133220100 is 102233121121.

It can be written as a sum of positive squares in 6 ways, for example, as 1033979855104 + 11078153364996 = 1016848^2 + 3328386^2 .

It is a super-2 number, since 2×12112133220100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33984424 + ... + 34338976.

Almost surely, 2^{12112133220100} is an apocalyptic number.

12112133220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112133220100 is an abundant number, since it is smaller than the sum of its proper divisors (14171346936624).

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

12112133220100 is a wasteful number, since it uses less digits than its factorization.

12112133220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696184 (or 696177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12112133220100 its reverse (102233121121), we get a palindrome (12214366341221).

The spelling of 12112133220100 in words is "twelve trillion, one hundred twelve billion, one hundred thirty-three million, two hundred twenty thousand, one hundred".