1009100000001 has 16 divisors (see below), whose sum is σ = 1382684385600. Its totient is φ = 654146941248.

The previous prime is 1009099999979. The next prime is 1009100000033. The reversal of 1009100000001 is 1000000019001.

It is not a de Polignac number, because 1009100000001 - 2¹⁷ = 1009099868929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1009100007001) 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, 2627886 + ... + 2987303.

It is an arithmetic number, because the mean of its divisors is an integer number (86417774100).

Almost surely, 2^{1009100000001} is an apocalyptic number.

It is an amenable number.

1009100000001 is a deficient number, since it is larger than the sum of its proper divisors (373584385599).

1009100000001 is a wasteful number, since it uses less digits than its factorization.

1009100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616848.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1009100000001 its reverse (1000000019001), we get a palindrome (2009100019002).

The spelling of 1009100000001 in words is "one trillion, nine billion, one hundred million, one", and thus it is an aban number.