111101101100001 has 24 divisors (see below), whose sum is σ = 160601264165160. Its totient is φ = 74011144467456.

The previous prime is 111101101099999. The next prime is 111101101100023. The reversal of 111101101100001 is 100001101101111.

It can be written as a sum of positive squares in 4 ways, for example, as 82703382339600 + 28397718760401 = 9094140^2 + 5328951^2 .

It is not a de Polignac number, because 111101101100001 - 2¹ = 111101101099999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (111101101120001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455567185 + ... + 455810993.

It is an arithmetic number, because the mean of its divisors is an integer number (6691719340215).

Almost surely, 2^{111101101100001} is an apocalyptic number.

It is an amenable number.

111101101100001 is a deficient number, since it is larger than the sum of its proper divisors (49500163065159).

111101101100001 is a wasteful number, since it uses less digits than its factorization.

111101101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282065 (or 282062 counting only the distinct ones).

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

Adding to 111101101100001 its reverse (100001101101111), we get a palindrome (211102202201112).

The spelling of 111101101100001 in words is "one hundred eleven trillion, one hundred one billion, one hundred one million, one hundred thousand, one".