11111110101111 has 16 divisors (see below), whose sum is σ = 15215761123200. Its totient is φ = 7206947309088.

The previous prime is 11111110101109. The next prime is 11111110101197. The reversal of 11111110101111 is 11110101111111.

It is not a de Polignac number, because 11111110101111 - 2¹ = 11111110101109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111110201111) 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 15 ways as a sum of consecutive naturals, for example, 1323820 + ... + 4896398.

It is an arithmetic number, because the mean of its divisors is an integer number (950985070200).

Almost surely, 2^{11111110101111} is an apocalyptic number.

11111110101111 is a deficient number, since it is larger than the sum of its proper divisors (4104651022089).

11111110101111 is a wasteful number, since it uses less digits than its factorization.

11111110101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600638.

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

Adding to 11111110101111 its reverse (11110101111111), we get a palindrome (22221211212222).

It can be divided in two parts, 111 and 11110101111, that multiplied together give a palindrome (1233221223321).

The spelling of 11111110101111 in words is "eleven trillion, one hundred eleven billion, one hundred ten million, one hundred one thousand, one hundred eleven".