111011100010001 has 8 divisors (see below), whose sum is σ = 113353200020424. Its totient is φ = 108691200000000.

The previous prime is 111011100009991. The next prime is 111011100010039. The reversal of 111011100010001 is 100010001110111.

It can be written as a sum of positive squares in 4 ways, for example, as 19671486915025 + 91339613094976 = 4435255^2 + 9557176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111011100010001 - 2³⁸ = 110736222103057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111011100010501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5549990000 + ... + 5550010001.

It is an arithmetic number, because the mean of its divisors is an integer number (14169150002553).

Almost surely, 2^{111011100010001} is an apocalyptic number.

It is an amenable number.

111011100010001 is a deficient number, since it is larger than the sum of its proper divisors (2342100010423).

111011100010001 is a wasteful number, since it uses less digits than its factorization.

111011100010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100000211.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111011100010001 its reverse (100010001110111), we get a palindrome (211021101120112).

The spelling of 111011100010001 in words is "one hundred eleven trillion, eleven billion, one hundred million, ten thousand, one".