12112101169361 has 2 divisors, whose sum is σ = 12112101169362. Its totient is φ = 12112101169360.

The previous prime is 12112101169321. The next prime is 12112101169367. The reversal of 12112101169361 is 16396110121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6098232691600 + 6013868477761 = 2469460^2 + 2452319^2 .

It is an emirp because it is prime and its reverse (16396110121121) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12112101169361 is a prime.

It is a super-2 number, since 2×12112101169361² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12112101169367) 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, 6056050584680 + 6056050584681.

It is an arithmetic number, because the mean of its divisors is an integer number (6056050584681).

Almost surely, 2^{12112101169361} is an apocalyptic number.

It is an amenable number.

12112101169361 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112101169361 is an equidigital number, since it uses as much as digits as its factorization.

12112101169361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 35.

The spelling of 12112101169361 in words is "twelve trillion, one hundred twelve billion, one hundred one million, one hundred sixty-nine thousand, three hundred sixty-one".