10112312321 has 2 divisors, whose sum is σ = 10112312322. Its totient is φ = 10112312320.

The previous prime is 10112312299. The next prime is 10112312323. The reversal of 10112312321 is 12321321101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7024954225 + 3087358096 = 83815^2 + 55564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112312321 - 2²² = 10108118017 is a prime.

Together with 10112312323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10112312321.

It is not a weakly prime, because it can be changed into another prime (10112312323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056156160 + 5056156161.

It is an arithmetic number, because the mean of its divisors is an integer number (5056156161).

Almost surely, 2^10112312321 is an apocalyptic number.

It is an amenable number.

10112312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112312321 is an equidigital number, since it uses as much as digits as its factorization.

10112312321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10112312321 its reverse (12321321101), we get a palindrome (22433633422).

The spelling of 10112312321 in words is "ten billion, one hundred twelve million, three hundred twelve thousand, three hundred twenty-one".