123001312121 has 2 divisors, whose sum is σ = 123001312122. Its totient is φ = 123001312120.

The previous prime is 123001312099. The next prime is 123001312157. The reversal of 123001312121 is 121213100321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122524501225 + 476810896 = 350035^2 + 21836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123001312121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123001312121.

It is not a weakly prime, because it can be changed into another prime (123001332121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61500656060 + 61500656061.

It is an arithmetic number, because the mean of its divisors is an integer number (61500656061).

Almost surely, 2^123001312121 is an apocalyptic number.

It is an amenable number.

123001312121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123001312121 is an equidigital number, since it uses as much as digits as its factorization.

123001312121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 123001312121 its reverse (121213100321), we get a palindrome (244214412442).

The spelling of 123001312121 in words is "one hundred twenty-three billion, one million, three hundred twelve thousand, one hundred twenty-one".