1100001101009 has 12 divisors (see below), whose sum is σ = 1115450668332. Its totient is φ = 1084762713600.

The previous prime is 1100001100927. The next prime is 1100001101039. The reversal of 1100001101009 is 9001011000011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 119821899409 + 980179201600 = 346153^2 + 990040^2 .

It is not a de Polignac number, because 1100001101009 - 2⁸ = 1100001100753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100001100984 and 1100001101002.

It is not an unprimeable number, because it can be changed into a prime (1100001101039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46675589 + ... + 46699149.

It is an arithmetic number, because the mean of its divisors is an integer number (92954222361).

Almost surely, 2^{1100001101009} is an apocalyptic number.

It is an amenable number.

1100001101009 is a deficient number, since it is larger than the sum of its proper divisors (15449567323).

1100001101009 is an frugal number, since it uses more digits than its factorization.

1100001101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32468 (or 32395 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 1100001101009 in words is "one trillion, one hundred billion, one million, one hundred one thousand, nine".