102331311122321 has 2 divisors, whose sum is σ = 102331311122322. Its totient is φ = 102331311122320.

The previous prime is 102331311122291. The next prime is 102331311122351. The reversal of 102331311122321 is 123221113133201.

It is a balanced prime because it is at equal distance from previous prime (102331311122291) and next prime (102331311122351).

It can be written as a sum of positive squares in only one way, i.e., 60646713760000 + 41684597362321 = 7787600^2 + 6456361^2 .

It is a cyclic number.

It is not a de Polignac number, because 102331311122321 - 2³⁸ = 102056433215377 is a prime.

It is not a weakly prime, because it can be changed into another prime (102331311122351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51165655561160 + 51165655561161.

It is an arithmetic number, because the mean of its divisors is an integer number (51165655561161).

Almost surely, 2^{102331311122321} is an apocalyptic number.

It is an amenable number.

102331311122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

102331311122321 is an equidigital number, since it uses as much as digits as its factorization.

102331311122321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 102331311122321 its reverse (123221113133201), we get a palindrome (225552424255522).

The spelling of 102331311122321 in words is "one hundred two trillion, three hundred thirty-one billion, three hundred eleven million, one hundred twenty-two thousand, three hundred twenty-one".