111111011001101 has 16 divisors (see below), whose sum is σ = 116153701432704. Its totient is φ = 106085987656704.

The previous prime is 111111011001071. The next prime is 111111011001139. The reversal of 111111011001101 is 101100110111111.

It is a cyclic number.

It is not a de Polignac number, because 111111011001101 - 2³⁴ = 111093831131917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111011001401) 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, 270389945 + ... + 270800561.

It is an arithmetic number, because the mean of its divisors is an integer number (7259606339544).

Almost surely, 2^{111111011001101} is an apocalyptic number.

It is an amenable number.

111111011001101 is a deficient number, since it is larger than the sum of its proper divisors (5042690431603).

111111011001101 is a wasteful number, since it uses less digits than its factorization.

111111011001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432100.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 111111011001101 its reverse (101100110111111), we get a palindrome (212211121112212).

It can be divided in two parts, 11111 and 1011001101, that multiplied together give a palindrome (11233233233211).

The spelling of 111111011001101 in words is "one hundred eleven trillion, one hundred eleven billion, eleven million, one thousand, one hundred one".