11011111011001 has 8 divisors (see below), whose sum is σ = 11243422232424. Its totient is φ = 10781001792000.

The previous prime is 11011111010993. The next prime is 11011111011011. The reversal of 11011111011001 is 10011011111011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6163804255401 + 4847306755600 = 2482701^2 + 2201660^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11011111011001 - 2³ = 11011111010993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011111011011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550490500 + ... + 550510501.

It is an arithmetic number, because the mean of its divisors is an integer number (1405427779053).

Almost surely, 2^{11011111011001} is an apocalyptic number.

It is an amenable number.

11011111011001 is a deficient number, since it is larger than the sum of its proper divisors (232311221423).

11011111011001 is a wasteful number, since it uses less digits than its factorization.

11011111011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101001211.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11011111011001 its reverse (10011011111011), we get a palindrome (21022122122012).

It can be divided in two parts, 1101111 and 1011001, that added together give a palindrome (2112112).

The spelling of 11011111011001 in words is "eleven trillion, eleven billion, one hundred eleven million, eleven thousand, one".