10271 has 2 divisors, whose sum is σ = 10272. Its totient is φ = 10270.

The previous prime is 10267. The next prime is 10273. The reversal of 10271 is 17201.

10271 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10271 - 2² = 10267 is a prime.

It is a Sophie Germain prime.

Together with 10273, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5135 + 5136.

It is an arithmetic number, because the mean of its divisors is an integer number (5136).

2¹⁰²⁷¹ is an apocalyptic number.

10271 is a deficient number, since it is larger than the sum of its proper divisors (1).

10271 is an equidigital number, since it uses as much as digits as its factorization.

10271 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10271 is about 101.3459421980. The cubic root of 10271 is about 21.7372321241.

Adding to 10271 its reverse (17201), we get a palindrome (27472).

The spelling of 10271 in words is "ten thousand, two hundred seventy-one", and thus it is an iban number.