11000000101101 has 32 divisors (see below), whose sum is σ = 16011707512320. Its totient is φ = 6661790385600.

The previous prime is 11000000101093. The next prime is 11000000101217. The reversal of 11000000101101 is 10110100000011.

It is not a de Polignac number, because 11000000101101 - 2³ = 11000000101093 is a prime.

11000000101101 is a modest number, since divided by 101101 gives 11 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11000000101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000000101501) 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, 299065330 + ... + 299102108.

It is an arithmetic number, because the mean of its divisors is an integer number (500365859760).

Almost surely, 2^{11000000101101} is an apocalyptic number.

11000000101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000000101101 is a deficient number, since it is larger than the sum of its proper divisors (5011707411219).

11000000101101 is a wasteful number, since it uses less digits than its factorization.

11000000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43177.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000000101101 its reverse (10110100000011), we get a palindrome (21110100101112).

The spelling of 11000000101101 in words is "eleven trillion, one hundred one thousand, one hundred one".