11111101101111 has 32 divisors (see below), whose sum is σ = 16254221875200. Its totient is φ = 6695419690080.

The previous prime is 11111101101047. The next prime is 11111101101167. The reversal of 11111101101111 is 11110110111111.

11111101101111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11111101101111 - 2⁶ = 11111101101047 is a prime.

It is a super-2 number, since 2×11111101101111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111101100111) 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, 42156840 + ... + 42419586.

It is an arithmetic number, because the mean of its divisors is an integer number (507944433600).

Almost surely, 2^{11111101101111} is an apocalyptic number.

11111101101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11111101101111 is a deficient number, since it is larger than the sum of its proper divisors (5143120774089).

11111101101111 is a wasteful number, since it uses less digits than its factorization.

11111101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270099.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 11111101101111 its reverse (11110110111111), we get a palindrome (22221211212222).

It can be divided in two parts, 11 and 111101101111, that multiplied together give a palindrome (1222112112221).

The spelling of 11111101101111 in words is "eleven trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred eleven".