123015231135101 has 2 divisors, whose sum is σ = 123015231135102. Its totient is φ = 123015231135100.

The previous prime is 123015231135029. The next prime is 123015231135103. The reversal of 123015231135101 is 101531132510321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75205335754201 + 47809895380900 = 8672101^2 + 6914470^2 .

It is a cyclic number.

It is not a de Polignac number, because 123015231135101 - 2¹⁰ = 123015231134077 is a prime.

Together with 123015231135103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123015231135103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61507615567550 + 61507615567551.

It is an arithmetic number, because the mean of its divisors is an integer number (61507615567551).

Almost surely, 2^{123015231135101} is an apocalyptic number.

It is an amenable number.

123015231135101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123015231135101 is an equidigital number, since it uses as much as digits as its factorization.

123015231135101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 29.

Adding to 123015231135101 its reverse (101531132510321), we get a palindrome (224546363645422).

The spelling of 123015231135101 in words is "one hundred twenty-three trillion, fifteen billion, two hundred thirty-one million, one hundred thirty-five thousand, one hundred one".