11011200211011 has 128 divisors (see below), whose sum is σ = 20285798400000. Its totient is φ = 5127069519360.

The previous prime is 11011200210977. The next prime is 11011200211031.

11011200211011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11011200211011 - 2¹³ = 11011200202819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11011200211031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55345090 + ... + 55543688.

It is an arithmetic number, because the mean of its divisors is an integer number (158482800000).

Almost surely, 2^{11011200211011} is an apocalyptic number.

11011200211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011200211011 is a deficient number, since it is larger than the sum of its proper divisors (9274598188989).

11011200211011 is a wasteful number, since it uses less digits than its factorization.

11011200211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199169.

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

It can be divided in two parts, 11011200 and 211011, that added together give a palindrome (11222211).

The spelling of 11011200211011 in words is "eleven trillion, eleven billion, two hundred million, two hundred eleven thousand, eleven".