12112101100181 has 2 divisors, whose sum is σ = 12112101100182. Its totient is φ = 12112101100180.

The previous prime is 12112101100139. The next prime is 12112101100237. The reversal of 12112101100181 is 18100110121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12110887204900 + 1213895281 = 3480070^2 + 34841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12112101100181 is a prime.

It is a super-2 number, since 2×12112101100181² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12112101102181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056050550090 + 6056050550091.

It is an arithmetic number, because the mean of its divisors is an integer number (6056050550091).

Almost surely, 2^{12112101100181} is an apocalyptic number.

It is an amenable number.

12112101100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112101100181 is an equidigital number, since it uses as much as digits as its factorization.

12112101100181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 20.

The spelling of 12112101100181 in words is "twelve trillion, one hundred twelve billion, one hundred one million, one hundred thousand, one hundred eighty-one".