9100010001091 has 2 divisors, whose sum is σ = 9100010001092. Its totient is φ = 9100010001090.

The previous prime is 9100010001079. The next prime is 9100010001097. The reversal of 9100010001091 is 1901000100019.

It is a strong prime.

It is an emirp because it is prime and its reverse (1901000100019) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9100010001091 - 2⁵ = 9100010001059 is a prime.

It is not a weakly prime, because it can be changed into another prime (9100010001097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4550005000545 + 4550005000546.

It is an arithmetic number, because the mean of its divisors is an integer number (4550005000546).

Almost surely, 2^{9100010001091} is an apocalyptic number.

9100010001091 is a deficient number, since it is larger than the sum of its proper divisors (1).

9100010001091 is an equidigital number, since it uses as much as digits as its factorization.

9100010001091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 9100010001091 in words is "nine trillion, one hundred billion, ten million, one thousand, ninety-one".