9191001010001 has 2 divisors, whose sum is σ = 9191001010002. Its totient is φ = 9191001010000.

The previous prime is 9191001009991. The next prime is 9191001010031. The reversal of 9191001010001 is 1000101001919.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9142011827776 + 48989182225 = 3023576^2 + 221335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9191001010001 is a prime.

It is not a weakly prime, because it can be changed into another prime (9191001010031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4595500505000 + 4595500505001.

It is an arithmetic number, because the mean of its divisors is an integer number (4595500505001).

Almost surely, 2^{9191001010001} is an apocalyptic number.

It is an amenable number.

9191001010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9191001010001 is an equidigital number, since it uses as much as digits as its factorization.

9191001010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 9191001010001 in words is "nine trillion, one hundred ninety-one billion, one million, ten thousand, one".