102401234329 has 2 divisors, whose sum is σ = 102401234330. Its totient is φ = 102401234328.

The previous prime is 102401234303. The next prime is 102401234339. The reversal of 102401234329 is 923432104201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91716911104 + 10684323225 = 302848^2 + 103365^2 .

It is an emirp because it is prime and its reverse (923432104201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102401234329 - 2¹⁵ = 102401201561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102401234329.

It is not a weakly prime, because it can be changed into another prime (102401234339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200617164 + 51200617165.

It is an arithmetic number, because the mean of its divisors is an integer number (51200617165).

Almost surely, 2^102401234329 is an apocalyptic number.

It is an amenable number.

102401234329 is a deficient number, since it is larger than the sum of its proper divisors (1).

102401234329 is an equidigital number, since it uses as much as digits as its factorization.

102401234329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 102401234329 in words is "one hundred two billion, four hundred one million, two hundred thirty-four thousand, three hundred twenty-nine".