111111100000001 has 8 divisors (see below), whose sum is σ = 117312403250400. Its totient is φ = 104945131811520.

The previous prime is 111111099999997. The next prime is 111111100000007. The reversal of 111111100000001 is 100000001111111.

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

It is not a de Polignac number, because 111111100000001 - 2² = 111111099999997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111100000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8833759016 + ... + 8833771593.

It is an arithmetic number, because the mean of its divisors is an integer number (14664050406300).

Almost surely, 2^{111111100000001} is an apocalyptic number.

It is an amenable number.

111111100000001 is a deficient number, since it is larger than the sum of its proper divisors (6201303250399).

111111100000001 is a wasteful number, since it uses less digits than its factorization.

111111100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17667530959.

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

Adding to 111111100000001 its reverse (100000001111111), we get a palindrome (211111101111112).

It can be divided in two parts, 111111 and 100000001, that multiplied together give a palindrome (11111100111111).

The spelling of 111111100000001 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred million, one", and thus it is an aban number.