111100010100001 has 4 divisors (see below), whose sum is σ = 119646164723092. Its totient is φ = 102553855476912.

The previous prime is 111100010099987. The next prime is 111100010100007. The reversal of 111100010100001 is 100001010001111.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 63513743141601 + 47586266958400 = 7969551^2 + 6898280^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100010100001 - 2¹⁷ = 111100009968929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111100010100007) 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 3 ways as a sum of consecutive naturals, for example, 4273077311526 + ... + 4273077311551.

It is an arithmetic number, because the mean of its divisors is an integer number (29911541180773).

Almost surely, 2^{111100010100001} is an apocalyptic number.

It is an amenable number.

111100010100001 is a deficient number, since it is larger than the sum of its proper divisors (8546154623091).

111100010100001 is an equidigital number, since it uses as much as digits as its factorization.

111100010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546154623090.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111100010100001 its reverse (100001010001111), we get a palindrome (211101020101112).

The spelling of 111100010100001 in words is "one hundred eleven trillion, one hundred billion, ten million, one hundred thousand, one".