9191000091001 has 8 divisors (see below), whose sum is σ = 9282210140808. Its totient is φ = 9099794160000.

The previous prime is 9191000090999. The next prime is 9191000091011. The reversal of 9191000091001 is 1001900001919.

It can be written as a sum of positive squares in 4 ways, for example, as 521538174976 + 8669461916025 = 722176^2 + 2944395^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9191000091001 - 2¹ = 9191000090999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9191000091011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3556221 + ... + 5570341.

It is an arithmetic number, because the mean of its divisors is an integer number (1160276267601).

Almost surely, 2^{9191000091001} is an apocalyptic number.

It is an amenable number.

9191000091001 is a deficient number, since it is larger than the sum of its proper divisors (91210049807).

9191000091001 is a wasteful number, since it uses less digits than its factorization.

9191000091001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059403.

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

The spelling of 9191000091001 in words is "nine trillion, one hundred ninety-one billion, ninety-one thousand, one".