12112101100229 has 8 divisors (see below), whose sum is σ = 13043840842200. Its totient is φ = 11180367023616.

The previous prime is 12112101100181. The next prime is 12112101100237. The reversal of 12112101100229 is 92200110121121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53830960225 + 12058270140004 = 232015^2 + 3472502^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12112101100229 - 2²⁴ = 12112084323013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112101100259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711629 + ... + 6164445.

It is an arithmetic number, because the mean of its divisors is an integer number (1630480105275).

Almost surely, 2^{12112101100229} is an apocalyptic number.

It is an amenable number.

12112101100229 is a deficient number, since it is larger than the sum of its proper divisors (931739741971).

12112101100229 is a wasteful number, since it uses less digits than its factorization.

12112101100229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832679.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 12112101100229 in words is "twelve trillion, one hundred twelve billion, one hundred one million, one hundred thousand, two hundred twenty-nine".