12123010100329 has 2 divisors, whose sum is σ = 12123010100330. Its totient is φ = 12123010100328.

The previous prime is 12123010100297. The next prime is 12123010100359. The reversal of 12123010100329 is 92300101032121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11225528604304 + 897481496025 = 3350452^2 + 947355^2 .

It is an emirp because it is prime and its reverse (92300101032121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12123010100329 - 2⁵ = 12123010100297 is a prime.

It is not a weakly prime, because it can be changed into another prime (12123010100359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061505050164 + 6061505050165.

It is an arithmetic number, because the mean of its divisors is an integer number (6061505050165).

Almost surely, 2^{12123010100329} is an apocalyptic number.

It is an amenable number.

12123010100329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123010100329 is an equidigital number, since it uses as much as digits as its factorization.

12123010100329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 12123010100329 in words is "twelve trillion, one hundred twenty-three billion, ten million, one hundred thousand, three hundred twenty-nine".