9091910100091 has 16 divisors (see below), whose sum is σ = 11190118229248. Its totient is φ = 7193550967200.

The previous prime is 9091910100089. The next prime is 9091910100137. The reversal of 9091910100091 is 1900010191909.

It is not a de Polignac number, because 9091910100091 - 2¹ = 9091910100089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9091910100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20173036 + ... + 20618806.

It is an arithmetic number, because the mean of its divisors is an integer number (699382389328).

Almost surely, 2^{9091910100091} is an apocalyptic number.

9091910100091 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

9091910100091 is a deficient number, since it is larger than the sum of its proper divisors (2098208129157).

9091910100091 is a wasteful number, since it uses less digits than its factorization.

9091910100091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669922.

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 9091910100091 in words is "nine trillion, ninety-one billion, nine hundred ten million, one hundred thousand, ninety-one".