12112111001057 has 2 divisors, whose sum is σ = 12112111001058. Its totient is φ = 12112111001056.

The previous prime is 12112111001021. The next prime is 12112111001059. The reversal of 12112111001057 is 75010011121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9213659230801 + 2898451770256 = 3035401^2 + 1702484^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112111001057 - 2²⁴ = 12112094223841 is a prime.

Together with 12112111001059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12112111001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056055500528 + 6056055500529.

It is an arithmetic number, because the mean of its divisors is an integer number (6056055500529).

Almost surely, 2^{12112111001057} is an apocalyptic number.

It is an amenable number.

12112111001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112111001057 is an equidigital number, since it uses as much as digits as its factorization.

12112111001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 23.

Adding to 12112111001057 its reverse (75010011121121), we get a palindrome (87122122122178).

The spelling of 12112111001057 in words is "twelve trillion, one hundred twelve billion, one hundred eleven million, one thousand, fifty-seven".