111011100001101 has 80 divisors (see below), whose sum is σ = 167184234051120. Its totient is φ = 73406153318400.

The previous prime is 111011100001057. The next prime is 111011100001163. The reversal of 111011100001101 is 101100001110111.

111011100001101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 51570006863076 + 59441093138025 = 7181226^2 + 7709805^2 .

It is not a de Polignac number, because 111011100001101 - 2¹⁰ = 111011100000077 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111011100001181) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19472212551 + ... + 19472218251.

It is an arithmetic number, because the mean of its divisors is an integer number (2089802925639).

Almost surely, 2^{111011100001101} is an apocalyptic number.

It is an amenable number.

111011100001101 is a deficient number, since it is larger than the sum of its proper divisors (56173134050019).

111011100001101 is a wasteful number, since it uses less digits than its factorization.

111011100001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436 (or 9427 counting only the distinct ones).

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

Adding to 111011100001101 its reverse (101100001110111), we get a palindrome (212111101111212).

The spelling of 111011100001101 in words is "one hundred eleven trillion, eleven billion, one hundred million, one thousand, one hundred one".