102401441323309 has 2 divisors, whose sum is σ = 102401441323310. Its totient is φ = 102401441323308.

The previous prime is 102401441323277. The next prime is 102401441323411. The reversal of 102401441323309 is 903323144104201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67599146296900 + 34802295026409 = 8221870^2 + 5899347^2 .

It is a cyclic number.

It is not a de Polignac number, because 102401441323309 - 2⁵ = 102401441323277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102401441323009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200720661654 + 51200720661655.

It is an arithmetic number, because the mean of its divisors is an integer number (51200720661655).

Almost surely, 2^{102401441323309} is an apocalyptic number.

It is an amenable number.

102401441323309 is a deficient number, since it is larger than the sum of its proper divisors (1).

102401441323309 is an equidigital number, since it uses as much as digits as its factorization.

102401441323309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 102401441323309 in words is "one hundred two trillion, four hundred one billion, four hundred forty-one million, three hundred twenty-three thousand, three hundred nine".