1001100010009 has 8 divisors (see below), whose sum is σ = 1149588528480. Its totient is φ = 862191396000.

The previous prime is 1001100010007. The next prime is 1001100010021. The reversal of 1001100010009 is 9000100011001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001100010009 - 2¹ = 1001100010007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100010003) 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 7 ways as a sum of consecutive naturals, for example, 2394975892 + ... + 2394976309.

It is an arithmetic number, because the mean of its divisors is an integer number (143698566060).

Almost surely, 2^{1001100010009} is an apocalyptic number.

1001100010009 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1001100010009 is a deficient number, since it is larger than the sum of its proper divisors (148488518471).

1001100010009 is a wasteful number, since it uses less digits than its factorization.

1001100010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789952231.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 1001100010009 in words is "one trillion, one billion, one hundred million, ten thousand, nine".