1009100910009 has 32 divisors (see below), whose sum is σ = 1439946408960. Its totient is φ = 626684385600.

The previous prime is 1009100909981. The next prime is 1009100910011. The reversal of 1009100910009 is 9000190019001.

It is not a de Polignac number, because 1009100910009 - 2⁵ = 1009100909977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1009100910049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11594164 + ... + 11680874.

It is an arithmetic number, because the mean of its divisors is an integer number (44998325280).

Almost surely, 2^{1009100910009} is an apocalyptic number.

1009100910009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1009100910009 is a deficient number, since it is larger than the sum of its proper divisors (430845498951).

1009100910009 is a wasteful number, since it uses less digits than its factorization.

1009100910009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90141.

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 1009100910009 in words is "one trillion, nine billion, one hundred million, nine hundred ten thousand, nine".