11011111001 has 32 divisors (see below), whose sum is σ = 12399492096. Its totient is φ = 9694080000.

The previous prime is 11011110991. The next prime is 11011111009. The reversal of 11011111001 is 10011111011.

It is not a de Polignac number, because 11011111001 - 2¹⁴ = 11011094617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11011111001.

It is not an unprimeable number, because it can be changed into a prime (11011111009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11110616 + ... + 11111606.

It is an arithmetic number, because the mean of its divisors is an integer number (387484128).

Almost surely, 2^11011111001 is an apocalyptic number.

11011111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011111001 is a deficient number, since it is larger than the sum of its proper divisors (1388381095).

11011111001 is a wasteful number, since it uses less digits than its factorization.

11011111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11011111001 its reverse (10011111011), we get a palindrome (21022222012).

It can be divided in two parts, 110 and 11111001, that added together give a palindrome (11111111).

The spelling of 11011111001 in words is "eleven billion, eleven million, one hundred eleven thousand, one".