11110000010009 has 16 divisors (see below), whose sum is σ = 11518704738000. Its totient is φ = 10703026763520.

The previous prime is 11110000009993. The next prime is 11110000010059. The reversal of 11110000010009 is 90001000001111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1207196625625 + 9902803384384 = 1098725^2 + 3146872^2 .

It is a cyclic number.

It is not a de Polignac number, because 11110000010009 - 2⁴ = 11110000009993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11110000009975 and 11110000010002.

It is not an unprimeable number, because it can be changed into a prime (11110000010059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25049639 + ... + 25489299.

It is an arithmetic number, because the mean of its divisors is an integer number (719919046125).

Almost surely, 2^{11110000010009} is an apocalyptic number.

It is an amenable number.

11110000010009 is a deficient number, since it is larger than the sum of its proper divisors (408704727991).

11110000010009 is a wasteful number, since it uses less digits than its factorization.

11110000010009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441628.

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

The spelling of 11110000010009 in words is "eleven trillion, one hundred ten billion, ten thousand, nine".