10314414221 has 2 divisors, whose sum is σ = 10314414222. Its totient is φ = 10314414220.

The previous prime is 10314414211. The next prime is 10314414223. The reversal of 10314414221 is 12241441301.

10314414221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9767368900 + 547045321 = 98830^2 + 23389^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10314414221 is a prime.

Together with 10314414223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10314414223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5157207110 + 5157207111.

It is an arithmetic number, because the mean of its divisors is an integer number (5157207111).

Almost surely, 2^10314414221 is an apocalyptic number.

It is an amenable number.

10314414221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10314414221 is an equidigital number, since it uses as much as digits as its factorization.

10314414221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10314414221 its reverse (12241441301), we get a palindrome (22555855522).

The spelling of 10314414221 in words is "ten billion, three hundred fourteen million, four hundred fourteen thousand, two hundred twenty-one".