1009191009091 has 16 divisors (see below), whose sum is σ = 1021083148800. Its totient is φ = 997365376800.

The previous prime is 1009191009059. The next prime is 1009191009097. The reversal of 1009191009091 is 1909001919001.

It is a cyclic number.

It is not a de Polignac number, because 1009191009091 - 2⁵ = 1009191009059 is a prime.

It is a super-2 number, since 2×1009191009091² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009191009097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130063270 + ... + 130071028.

It is an arithmetic number, because the mean of its divisors is an integer number (63817696800).

Almost surely, 2^{1009191009091} is an apocalyptic number.

1009191009091 is a deficient number, since it is larger than the sum of its proper divisors (11892139709).

1009191009091 is a wasteful number, since it uses less digits than its factorization.

1009191009091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11850.

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

The spelling of 1009191009091 in words is "one trillion, nine billion, one hundred ninety-one million, nine thousand, ninety-one".