10091 has 2 divisors, whose sum is σ = 10092. Its totient is φ = 10090.

The previous prime is 10079. The next prime is 10093. The reversal of 10091 is 19001.

It is a strong prime.

It is an emirp because it is prime and its reverse (19001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 16001 and 10061.

It is a cyclic number.

It is not a de Polignac number, because 10091 - 2¹⁰ = 9067 is a prime.

It is a Sophie Germain prime.

Together with 10093, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 11.

It is not a weakly prime, because it can be changed into another prime (10093) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045 + 5046.

It is an arithmetic number, because the mean of its divisors is an integer number (5046).

2¹⁰⁰⁹¹ is an apocalyptic number.

10091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091 is an equidigital number, since it uses as much as digits as its factorization.

10091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 10091 is about 100.4539695582. The cubic root of 10091 is about 21.6095008501.

Adding to 10091 its reverse (19001), we get a palindrome (29092).

It can be divided in two parts, 100 and 91, that added together give a palindrome (191).

The spelling of 10091 in words is "ten thousand, ninety-one".