12101112111131 has 2 divisors, whose sum is σ = 12101112111132. Its totient is φ = 12101112111130.

The previous prime is 12101112111119. The next prime is 12101112111139. The reversal of 12101112111131 is 13111121110121.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12101112111131 - 2²² = 12101107916827 is a prime.

It is a super-2 number, since 2×12101112111131² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12101112111139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050556055565 + 6050556055566.

It is an arithmetic number, because the mean of its divisors is an integer number (6050556055566).

Almost surely, 2^{12101112111131} is an apocalyptic number.

12101112111131 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101112111131 is an equidigital number, since it uses as much as digits as its factorization.

12101112111131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 17.

Adding to 12101112111131 its reverse (13111121110121), we get a palindrome (25212233221252).

The spelling of 12101112111131 in words is "twelve trillion, one hundred one billion, one hundred twelve million, one hundred eleven thousand, one hundred thirty-one".