111110001000001 has 8 divisors (see below), whose sum is σ = 111132200655144. Its totient is φ = 111087802417920.

The previous prime is 111110000999989. The next prime is 111110001000017. The reversal of 111110001000001 is 100000100011111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57670962339600 + 53439038660401 = 7594140^2 + 7310201^2 .

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 111110001000001 - 2¹⁷ = 111110000868929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111110001000601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225653065 + ... + 226144921.

It is an arithmetic number, because the mean of its divisors is an integer number (13891525081893).

Almost surely, 2^{111110001000001} is an apocalyptic number.

It is an amenable number.

111110001000001 is a deficient number, since it is larger than the sum of its proper divisors (22199655143).

111110001000001 is an equidigital number, since it uses as much as digits as its factorization.

111110001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536531.

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

Adding to 111110001000001 its reverse (100000100011111), we get a palindrome (211110101011112).

The spelling of 111110001000001 in words is "one hundred eleven trillion, one hundred ten billion, one million, one", and thus it is an aban number.