11012012110011 has 32 divisors (see below), whose sum is σ = 16040657525760. Its totient is φ = 6664287895200.

The previous prime is 11012012109997. The next prime is 11012012110019. The reversal of 11012012110011 is 11001121021011.

It is not a de Polignac number, because 11012012110011 - 2¹⁴ = 11012012093627 is a prime.

It is a super-2 number, since 2×11012012110011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11012012110019) 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 31 ways as a sum of consecutive naturals, for example, 497751996 + ... + 497774118.

It is an arithmetic number, because the mean of its divisors is an integer number (501270547680).

Almost surely, 2^{11012012110011} is an apocalyptic number.

11012012110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11012012110011 is a deficient number, since it is larger than the sum of its proper divisors (5028645415749).

11012012110011 is a wasteful number, since it uses less digits than its factorization.

11012012110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43287.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11012012110011 its reverse (11001121021011), we get a palindrome (22013133131022).

The spelling of 11012012110011 in words is "eleven trillion, twelve billion, twelve million, one hundred ten thousand, eleven".