111111000010001 has 2 divisors, whose sum is σ = 111111000010002. Its totient is φ = 111111000010000.

The previous prime is 111111000009991. The next prime is 111111000010051. The reversal of 111111000010001 is 100010000111111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56003909747776 + 55107090262225 = 7483576^2 + 7423415^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111000010001 - 2⁴² = 106712953498897 is a prime.

It is not a weakly prime, because it can be changed into another prime (111111000010051) 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 as a sum of consecutive naturals, namely, 55555500005000 + 55555500005001.

It is an arithmetic number, because the mean of its divisors is an integer number (55555500005001).

Almost surely, 2^{111111000010001} is an apocalyptic number.

It is an amenable number.

111111000010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111000010001 is an equidigital number, since it uses as much as digits as its factorization.

111111000010001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 111111000010001 its reverse (100010000111111), we get a palindrome (211121000121112).

The spelling of 111111000010001 in words is "one hundred eleven trillion, one hundred eleven billion, ten thousand, one".