111101100001101 has 48 divisors (see below), whose sum is σ = 184436960722560. Its totient is φ = 63129150714240.

The previous prime is 111101100001019. The next prime is 111101100001121. The reversal of 111101100001101 is 101100001101111.

It is not a de Polignac number, because 111101100001101 - 2⁹ = 111101100000589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101100001121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303089191 + ... + 303455531.

It is an arithmetic number, because the mean of its divisors is an integer number (3842436681720).

Almost surely, 2^{111101100001101} is an apocalyptic number.

It is an amenable number.

111101100001101 is a deficient number, since it is larger than the sum of its proper divisors (73335860721459).

111101100001101 is a wasteful number, since it uses less digits than its factorization.

111101100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393426 (or 393423 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111101100001101 its reverse (101100001101111), we get a palindrome (212201101102212).

It can be divided in two parts, 111 and 101100001101, that multiplied together give a palindrome (11222100122211).

The spelling of 111101100001101 in words is "one hundred eleven trillion, one hundred one billion, one hundred million, one thousand, one hundred one".