111111101000001 has 8 divisors (see below), whose sum is σ = 164609038518560. Its totient is φ = 74074067333316.

The previous prime is 111111100999949. The next prime is 111111101000087. The reversal of 111111101000001 is 100000101111111.

It is not a de Polignac number, because 111111101000001 - 2⁴² = 106713054488897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111111101002001) 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, 2057612981455 + ... + 2057612981508.

It is an arithmetic number, because the mean of its divisors is an integer number (20576129814820).

Almost surely, 2^{111111101000001} is an apocalyptic number.

It is an amenable number.

111111101000001 is a deficient number, since it is larger than the sum of its proper divisors (53497937518559).

111111101000001 is an equidigital number, since it uses as much as digits as its factorization.

111111101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115225962972 (or 4115225962966 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111111101000001 its reverse (100000101111111), we get a palindrome (211111202111112).

The spelling of 111111101000001 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred one million, one", and thus it is an aban number.