11001111100111 has 16 divisors (see below), whose sum is σ = 12027418069248. Its totient is φ = 9979190020800.

The previous prime is 11001111100081. The next prime is 11001111100153. The reversal of 11001111100111 is 11100111110011.

It is a happy number.

It is not a de Polignac number, because 11001111100111 - 2²³ = 11001102711503 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001111100211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11646676 + ... + 12555766.

It is an arithmetic number, because the mean of its divisors is an integer number (751713629328).

Almost surely, 2^{11001111100111} is an apocalyptic number.

11001111100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11001111100111 is a deficient number, since it is larger than the sum of its proper divisors (1026306969137).

11001111100111 is a wasteful number, since it uses less digits than its factorization.

11001111100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911502.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11001111100111 its reverse (11100111110011), we get a palindrome (22101222210122).

It can be divided in two parts, 110011 and 11100111, that multiplied together give a palindrome (1221134311221).

The spelling of 11001111100111 in words is "eleven trillion, one billion, one hundred eleven million, one hundred thousand, one hundred eleven".