11000101100009 has 16 divisors (see below), whose sum is σ = 12655533542400. Its totient is φ = 9365780661264.

The previous prime is 11000101099961. The next prime is 11000101100041. The reversal of 11000101100009 is 90000110100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11000101100009 - 2⁸ = 11000101099753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000101099966 and 11000101100002.

It is not an unprimeable number, because it can be changed into a prime (11000101100089) 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 15 ways as a sum of consecutive naturals, for example, 3624887 + ... + 5927900.

It is an arithmetic number, because the mean of its divisors is an integer number (790970846400).

Almost surely, 2^{11000101100009} is an apocalyptic number.

It is an amenable number.

11000101100009 is a deficient number, since it is larger than the sum of its proper divisors (1655432442391).

11000101100009 is an equidigital number, since it uses as much as digits as its factorization.

11000101100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553892.

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

The spelling of 11000101100009 in words is "eleven trillion, one hundred one million, one hundred thousand, nine".