100111000001 has 8 divisors (see below), whose sum is σ = 106052161320. Its totient is φ = 94175647488.

The previous prime is 100110999977. The next prime is 100111000039. The reversal of 100111000001 is 100000111001.

It can be written as a sum of positive squares in 4 ways, for example, as 36077203600 + 64033796401 = 189940^2 + 253049^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111000001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100111000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1416686 + ... + 1485671.

It is an arithmetic number, because the mean of its divisors is an integer number (13256520165).

Almost surely, 2^100111000001 is an apocalyptic number.

It is an amenable number.

100111000001 is a deficient number, since it is larger than the sum of its proper divisors (5941161319).

100111000001 is a wasteful number, since it uses less digits than its factorization.

100111000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904403.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100111000001 its reverse (100000111001), we get a palindrome (200111111002).

The spelling of 100111000001 in words is "one hundred billion, one hundred eleven million, one", and thus it is an aban number.