9100000009189 has 2 divisors, whose sum is σ = 9100000009190. Its totient is φ = 9100000009188.

The previous prime is 9100000009151. The next prime is 9100000009201. The reversal of 9100000009189 is 9819000000019.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5110561029025 + 3989438980164 = 2260655^2 + 1997358^2 .

It is a cyclic number.

It is not a de Polignac number, because 9100000009189 - 2²¹ = 9099997912037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9100000009129) 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, 4550000004594 + 4550000004595.

It is an arithmetic number, because the mean of its divisors is an integer number (4550000004595).

Almost surely, 2^{9100000009189} is an apocalyptic number.

It is an amenable number.

9100000009189 is a deficient number, since it is larger than the sum of its proper divisors (1).

9100000009189 is an equidigital number, since it uses as much as digits as its factorization.

9100000009189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 37.

The spelling of 9100000009189 in words is "nine trillion, one hundred billion, nine thousand, one hundred eighty-nine".