11100000000001 has 16 divisors (see below), whose sum is σ = 12144767217408. Its totient is φ = 10061200512000.

The previous prime is 11099999999989. The next prime is 11100000000029. The reversal of 11100000000001 is 10000000000111.

It is not a de Polignac number, because 11100000000001 - 2¹⁷ = 11099999868929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11100000000091) 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 15 ways as a sum of consecutive naturals, for example, 9726241 + ... + 10807393.

It is an arithmetic number, because the mean of its divisors is an integer number (759047951088).

Almost surely, 2^{11100000000001} is an apocalyptic number.

11100000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100000000001 is a deficient number, since it is larger than the sum of its proper divisors (1044767217407).

11100000000001 is a wasteful number, since it uses less digits than its factorization.

11100000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083912.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11100000000001 its reverse (10000000000111), we get a palindrome (21100000000112).

It can be divided in two parts, 11 and 100000000001, that multiplied together give a palindrome (1100000000011).

The spelling of 11100000000001 in words is "eleven trillion, one hundred billion, one", and thus it is an aban number.