102123132021329 has 2 divisors, whose sum is σ = 102123132021330. Its totient is φ = 102123132021328.

The previous prime is 102123132021311. The next prime is 102123132021397. The reversal of 102123132021329 is 923120231321201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87402903498304 + 14720228523025 = 9348952^2 + 3836695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102123132021329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102123132021295 and 102123132021304.

It is not a weakly prime, because it can be changed into another prime (102123132221329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061566010664 + 51061566010665.

It is an arithmetic number, because the mean of its divisors is an integer number (51061566010665).

Almost surely, 2^{102123132021329} is an apocalyptic number.

It is an amenable number.

102123132021329 is a deficient number, since it is larger than the sum of its proper divisors (1).

102123132021329 is an equidigital number, since it uses as much as digits as its factorization.

102123132021329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 102123132021329 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred thirty-two million, twenty-one thousand, three hundred twenty-nine".