102320124120289 has 2 divisors, whose sum is σ = 102320124120290. Its totient is φ = 102320124120288.

The previous prime is 102320124120139. The next prime is 102320124120293. The reversal of 102320124120289 is 982021421023201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67408369267600 + 34911754852689 = 8210260^2 + 5908617^2 .

It is a cyclic number.

It is not a de Polignac number, because 102320124120289 - 2⁹ = 102320124119777 is a prime.

It is a super-2 number, since 2×102320124120289² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102320124180289) 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, 51160062060144 + 51160062060145.

It is an arithmetic number, because the mean of its divisors is an integer number (51160062060145).

Almost surely, 2^{102320124120289} is an apocalyptic number.

It is an amenable number.

102320124120289 is a deficient number, since it is larger than the sum of its proper divisors (1).

102320124120289 is an equidigital number, since it uses as much as digits as its factorization.

102320124120289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 102320124120289 in words is "one hundred two trillion, three hundred twenty billion, one hundred twenty-four million, one hundred twenty thousand, two hundred eighty-nine".