11110101111111 has 16 divisors (see below), whose sum is σ = 15242921777024. Its totient is φ = 7192772776224.

The previous prime is 11110101111101. The next prime is 11110101111149. The reversal of 11110101111111 is 11111110101111.

It is not a de Polignac number, because 11110101111111 - 2³⁵ = 11075741372743 is a prime.

It is a Duffinian number.

11110101111111 is a modest number, since divided by 1111111 gives 1111010 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110101111101) 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, 95631241 + ... + 95747346.

It is an arithmetic number, because the mean of its divisors is an integer number (952682611064).

Almost surely, 2^{11110101111111} is an apocalyptic number.

11110101111111 is a deficient number, since it is larger than the sum of its proper divisors (4132820665913).

11110101111111 is a wasteful number, since it uses less digits than its factorization.

11110101111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191379150.

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

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

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

The spelling of 11110101111111 in words is "eleven trillion, one hundred ten billion, one hundred one million, one hundred eleven thousand, one hundred eleven".