102102012022321 has 2 divisors, whose sum is σ = 102102012022322. Its totient is φ = 102102012022320.

The previous prime is 102102012022319. The next prime is 102102012022411. The reversal of 102102012022321 is 123220210201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99988800313600 + 2113211708721 = 9999440^2 + 1453689^2 .

It is an emirp because it is prime and its reverse (123220210201201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102102012022321 - 2¹ = 102102012022319 is a prime.

Together with 102102012022319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102102012022121) 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, 51051006011160 + 51051006011161.

It is an arithmetic number, because the mean of its divisors is an integer number (51051006011161).

Almost surely, 2^{102102012022321} is an apocalyptic number.

It is an amenable number.

102102012022321 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102012022321 is an equidigital number, since it uses as much as digits as its factorization.

102102012022321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102102012022321 its reverse (123220210201201), we get a palindrome (225322222223522).

The spelling of 102102012022321 in words is "one hundred two trillion, one hundred two billion, twelve million, twenty-two thousand, three hundred twenty-one".