9100000009201 has 2 divisors, whose sum is σ = 9100000009202. Its totient is φ = 9100000009200.

The previous prime is 9100000009189. The next prime is 9100000009207. The reversal of 9100000009201 is 1029000000019.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9094416333025 + 5583676176 = 3015695^2 + 74724^2 .

It is an emirp because it is prime and its reverse (1029000000019) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9100000009201 - 2⁹ = 9100000008689 is a prime.

It is not a weakly prime, because it can be changed into another prime (9100000009207) 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, 4550000004600 + 4550000004601.

It is an arithmetic number, because the mean of its divisors is an integer number (4550000004601).

Almost surely, 2^{9100000009201} is an apocalyptic number.

It is an amenable number.

9100000009201 is a deficient number, since it is larger than the sum of its proper divisors (1).

9100000009201 is an equidigital number, since it uses as much as digits as its factorization.

9100000009201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 9100000009201 in words is "nine trillion, one hundred billion, nine thousand, two hundred one".