111011100000001 has 2 divisors, whose sum is σ = 111011100000002. Its totient is φ = 111011100000000.

The previous prime is 111011099999999. The next prime is 111011100000019. The reversal of 111011100000001 is 100000001110111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85383975719025 + 25627124280976 = 9240345^2 + 5062324^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011100000001 - 2¹ = 111011099999999 is a prime.

Together with 111011099999999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 111011100000001.

It is not a weakly prime, because it can be changed into another prime (111011100000041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505550000000 + 55505550000001.

It is an arithmetic number, because the mean of its divisors is an integer number (55505550000001).

Almost surely, 2^{111011100000001} is an apocalyptic number.

It is an amenable number.

111011100000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011100000001 is an equidigital number, since it uses as much as digits as its factorization.

111011100000001 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 7.

Adding to 111011100000001 its reverse (100000001110111), we get a palindrome (211011101110112).

The spelling of 111011100000001 in words is "one hundred eleven trillion, eleven billion, one hundred million, one", and thus it is an aban number.