11011012011011 has 16 divisors (see below), whose sum is σ = 11670787346400. Its totient is φ = 10352579297280.

The previous prime is 11011012010987. The next prime is 11011012011037. The reversal of 11011012011011 is 11011021011011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11011012011011 - 2¹⁴ = 11011011994627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011012010983 and 11011012011001.

It is not an unprimeable number, because it can be changed into a prime (11011012011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369966371 + ... + 369996131.

It is an arithmetic number, because the mean of its divisors is an integer number (729424209150).

Almost surely, 2^{11011012011011} is an apocalyptic number.

11011012011011 is a deficient number, since it is larger than the sum of its proper divisors (659775335389).

11011012011011 is a wasteful number, since it uses less digits than its factorization.

11011012011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51574.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11011012011011 its reverse (11011021011011), we get a palindrome (22022033022022).

Subtracting 11011012011011 from its reverse (11011021011011), we obtain a square (9000000 = 3000²).

The spelling of 11011012011011 in words is "eleven trillion, eleven billion, twelve million, eleven thousand, eleven".