9191919100091 has 16 divisors (see below), whose sum is σ = 11313215379648. Its totient is φ = 7272673084800.

The previous prime is 9191919100069. The next prime is 9191919100093. The reversal of 9191919100091 is 1900019191919.

It is a cyclic number.

It is not a de Polignac number, because 9191919100091 - 2⁴² = 4793872588987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9191919100093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15660581 + ... + 16236921.

It is an arithmetic number, because the mean of its divisors is an integer number (707075961228).

Almost surely, 2^{9191919100091} is an apocalyptic number.

9191919100091 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9191919100091 is a deficient number, since it is larger than the sum of its proper divisors (2121296279557).

9191919100091 is a wasteful number, since it uses less digits than its factorization.

9191919100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751622.

The product of its (nonzero) digits is 59049, while the sum is 50.

The spelling of 9191919100091 in words is "nine trillion, one hundred ninety-one billion, nine hundred nineteen million, one hundred thousand, ninety-one".