11000100101111 has 6 divisors (see below), whose sum is σ = 12091019119536. Its totient is φ = 10000091000900.

The previous prime is 11000100101087. The next prime is 11000100101149. The reversal of 11000100101111 is 11110100100011.

It is a de Polignac number, because none of the positive numbers 2^k-11000100101111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000100101411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45454958975 + ... + 45454959216.

It is an arithmetic number, because the mean of its divisors is an integer number (2015169853256).

Almost surely, 2^{11000100101111} is an apocalyptic number.

11000100101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000100101111 is a deficient number, since it is larger than the sum of its proper divisors (1090919018425).

11000100101111 is an equidigital number, since it uses as much as digits as its factorization.

11000100101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90909918213 (or 90909918202 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11000100101111 its reverse (11110100100011), we get a palindrome (22110200201122).

The spelling of 11000100101111 in words is "eleven trillion, one hundred million, one hundred one thousand, one hundred eleven".