10091000910091 has 2 divisors, whose sum is σ = 10091000910092. Its totient is φ = 10091000910090.

The previous prime is 10091000910071. The next prime is 10091000910131. The reversal of 10091000910091 is 19001900019001.

It is a weak prime.

It is an emirp because it is prime and its reverse (19001900019001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 16001600016001 and 10061000610061.

It is a cyclic number.

It is not a de Polignac number, because 10091000910091 - 2¹⁹ = 10091000385803 is a prime.

It is not a weakly prime, because it can be changed into another prime (10091000910031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045500455045 + 5045500455046.

It is an arithmetic number, because the mean of its divisors is an integer number (5045500455046).

Almost surely, 2^{10091000910091} is an apocalyptic number.

10091000910091 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091000910091 is an equidigital number, since it uses as much as digits as its factorization.

10091000910091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 31.

Adding to 10091000910091 its reverse (19001900019001), we get a palindrome (29092900929092).

The spelling of 10091000910091 in words is "ten trillion, ninety-one billion, nine hundred ten thousand, ninety-one".