11000211200011 has 32 divisors (see below), whose sum is σ = 12447882510336. Its totient is φ = 9630351552000.

The previous prime is 11000211199997. The next prime is 11000211200131.

11000211200011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11000211200011 - 2²⁵ = 11000177645579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000211200711) 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 31 ways as a sum of consecutive naturals, for example, 136698390 + ... + 136778836.

It is an arithmetic number, because the mean of its divisors is an integer number (388996328448).

Almost surely, 2^{11000211200011} is an apocalyptic number.

11000211200011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000211200011 is a deficient number, since it is larger than the sum of its proper divisors (1447671310325).

11000211200011 is a wasteful number, since it uses less digits than its factorization.

11000211200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82443.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1100021 and 1200011, that multiplied together give a palindrome (1320037300231).

The spelling of 11000211200011 in words is "eleven trillion, two hundred eleven million, two hundred thousand, eleven".