11211120011 has 16 divisors (see below), whose sum is σ = 13801611264. Its totient is φ = 8868209184.

The previous prime is 11211120001. The next prime is 11211120013. The reversal of 11211120011 is 11002111211.

11211120011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11211120011 - 2¹⁴ = 11211103627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11211119974 and 11211120001.

It is not an unprimeable number, because it can be changed into a prime (11211120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444830 + ... + 469356.

It is an arithmetic number, because the mean of its divisors is an integer number (862600704).

Almost surely, 2^11211120011 is an apocalyptic number.

11211120011 is a deficient number, since it is larger than the sum of its proper divisors (2590491253).

11211120011 is a wasteful number, since it uses less digits than its factorization.

11211120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29570.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11211120011 its reverse (11002111211), we get a palindrome (22213231222).

It can be divided in two parts, 112111200 and 11, that added together give a palindrome (112111211).

The spelling of 11211120011 in words is "eleven billion, two hundred eleven million, one hundred twenty thousand, eleven".