12112102112177 has 2 divisors, whose sum is σ = 12112102112178. Its totient is φ = 12112102112176.

The previous prime is 12112102112111. The next prime is 12112102112183. The reversal of 12112102112177 is 77121120121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11355612696481 + 756489415696 = 3369809^2 + 869764^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112102112177 - 2¹⁶ = 12112102046641 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112107112177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056051056088 + 6056051056089.

It is an arithmetic number, because the mean of its divisors is an integer number (6056051056089).

Almost surely, 2^{12112102112177} is an apocalyptic number.

It is an amenable number.

12112102112177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112102112177 is an equidigital number, since it uses as much as digits as its factorization.

12112102112177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 29.

Adding to 12112102112177 its reverse (77121120121121), we get a palindrome (89233222233298).

The spelling of 12112102112177 in words is "twelve trillion, one hundred twelve billion, one hundred two million, one hundred twelve thousand, one hundred seventy-seven".