1009091091001 has 24 divisors (see below), whose sum is σ = 1168478890560. Its totient is φ = 853650868800.

The previous prime is 1009091090951. The next prime is 1009091091013. The reversal of 1009091091001 is 1001901909001.

It is not a de Polignac number, because 1009091091001 - 2⁹ = 1009091090489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009091091601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22613730 + ... + 22658308.

It is an arithmetic number, because the mean of its divisors is an integer number (48686620440).

Almost surely, 2^{1009091091001} is an apocalyptic number.

It is an amenable number.

1009091091001 is a deficient number, since it is larger than the sum of its proper divisors (159387799559).

1009091091001 is an equidigital number, since it uses as much as digits as its factorization.

1009091091001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45105 (or 45004 counting only the distinct ones).

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

The spelling of 1009091091001 in words is "one trillion, nine billion, ninety-one million, ninety-one thousand, one".