11000111101101 has 32 divisors (see below), whose sum is σ = 16542428979200. Its totient is φ = 7222757992560.

The previous prime is 11000111101027. The next prime is 11000111101103. The reversal of 11000111101101 is 10110111100011.

It is not a de Polignac number, because 11000111101101 - 2¹⁸ = 11000110838957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000111101103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10496766 + ... + 11497056.

It is an arithmetic number, because the mean of its divisors is an integer number (516950905600).

Almost surely, 2^{11000111101101} is an apocalyptic number.

It is an amenable number.

11000111101101 is a deficient number, since it is larger than the sum of its proper divisors (5542317878099).

11000111101101 is a wasteful number, since it uses less digits than its factorization.

11000111101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006446 (or 1006440 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11000111101101 its reverse (10110111100011), we get a palindrome (21110222201112).

The spelling of 11000111101101 in words is "eleven trillion, one hundred eleven million, one hundred one thousand, one hundred one".