11000022000011 has 18 divisors (see below), whose sum is σ = 12121236720108. Its totient is φ = 9900009900000.

The previous prime is 11000021999983. The next prime is 11000022000013.

11000022000011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11000022000011 - 2²⁶ = 10999954891147 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11000022000013) 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 17 ways as a sum of consecutive naturals, for example, 1110996161 + ... + 1111006061.

It is an arithmetic number, because the mean of its divisors is an integer number (673402040006).

Almost surely, 2^{11000022000011} is an apocalyptic number.

11000022000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000022000011 is a deficient number, since it is larger than the sum of its proper divisors (1121214720097).

11000022000011 is an frugal number, since it uses more digits than its factorization.

11000022000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20015 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 1100002 and 2000011, that multiplied together give a palindrome (2200016100022).

The spelling of 11000022000011 in words is "eleven trillion, twenty-two million, eleven", and thus it is an aban number and an uban number.