123114541001 has 2 divisors, whose sum is σ = 123114541002. Its totient is φ = 123114541000.

The previous prime is 123114540979. The next prime is 123114541019. The reversal of 123114541001 is 100145411321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87793097401 + 35321443600 = 296299^2 + 187940^2 .

It is a cyclic number.

It is not a de Polignac number, because 123114541001 - 2¹⁸ = 123114278857 is a prime.

It is not a weakly prime, because it can be changed into another prime (123114541301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61557270500 + 61557270501.

It is an arithmetic number, because the mean of its divisors is an integer number (61557270501).

Almost surely, 2^123114541001 is an apocalyptic number.

It is an amenable number.

123114541001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123114541001 is an equidigital number, since it uses as much as digits as its factorization.

123114541001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 123114541001 its reverse (100145411321), we get a palindrome (223259952322).

The spelling of 123114541001 in words is "one hundred twenty-three billion, one hundred fourteen million, five hundred forty-one thousand, one".