102212201312321 has 2 divisors, whose sum is σ = 102212201312322. Its totient is φ = 102212201312320.

The previous prime is 102212201312311. The next prime is 102212201312341. The reversal of 102212201312321 is 123213102212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57988225000000 + 44223976312321 = 7615000^2 + 6650111^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212201312321 - 2¹⁴ = 102212201295937 is a prime.

It is a super-2 number, since 2×102212201312321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102212201312311) 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, 51106100656160 + 51106100656161.

It is an arithmetic number, because the mean of its divisors is an integer number (51106100656161).

Almost surely, 2^{102212201312321} is an apocalyptic number.

It is an amenable number.

102212201312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212201312321 is an equidigital number, since it uses as much as digits as its factorization.

102212201312321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 102212201312321 its reverse (123213102212201), we get a palindrome (225425303524522).

The spelling of 102212201312321 in words is "one hundred two trillion, two hundred twelve billion, two hundred one million, three hundred twelve thousand, three hundred twenty-one".