12112111122101 has 2 divisors, whose sum is σ = 12112111122102. Its totient is φ = 12112111122100.

The previous prime is 12112111122091. The next prime is 12112111122157. The reversal of 12112111122101 is 10122111121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8505913920100 + 3606197202001 = 2916490^2 + 1898999^2 .

It is an emirp because it is prime and its reverse (10122111121121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12112111122101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12112111122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12112111128101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056055561050 + 6056055561051.

It is an arithmetic number, because the mean of its divisors is an integer number (6056055561051).

Almost surely, 2^{12112111122101} is an apocalyptic number.

It is an amenable number.

12112111122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112111122101 is an equidigital number, since it uses as much as digits as its factorization.

12112111122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 12112111122101 its reverse (10122111121121), we get a palindrome (22234222243222).

The spelling of 12112111122101 in words is "twelve trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".