10011111111009 has 12 divisors (see below), whose sum is σ = 14475294754596. Its totient is φ = 6667242876672.

The previous prime is 10011111110989. The next prime is 10011111111013. The reversal of 10011111111009 is 90011111111001.

It can be written as a sum of positive squares in 2 ways, for example, as 9573628080384 + 437483030625 = 3094128^2 + 661425^2 .

It is not a de Polignac number, because 10011111111009 - 2¹⁹ = 10011110586721 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011111110982 and 10011111111000.

It is not an unprimeable number, because it can be changed into a prime (10011111111019) 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, 569257164 + ... + 569274749.

It is an arithmetic number, because the mean of its divisors is an integer number (1206274562883).

Almost surely, 2^{10011111111009} is an apocalyptic number.

It is an amenable number.

10011111111009 is a deficient number, since it is larger than the sum of its proper divisors (4464183643587).

10011111111009 is a wasteful number, since it uses less digits than its factorization.

10011111111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138532896 (or 1138532893 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 18.

The spelling of 10011111111009 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, nine".