100110100000001 has 32 divisors (see below), whose sum is σ = 129709757506560. Its totient is φ = 75031939434816.

The previous prime is 100110099999989. The next prime is 100110100000033. The reversal of 100110100000001 is 100000001011001.

It is not a de Polignac number, because 100110100000001 - 2¹⁰ = 100110099998977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110100000051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15251810 + ... + 20804756.

It is an arithmetic number, because the mean of its divisors is an integer number (4053429922080).

Almost surely, 2^{100110100000001} is an apocalyptic number.

It is an amenable number.

100110100000001 is a deficient number, since it is larger than the sum of its proper divisors (29599657506559).

100110100000001 is a wasteful number, since it uses less digits than its factorization.

100110100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563413.

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

Adding to 100110100000001 its reverse (100000001011001), we get a palindrome (200110101011002).

The spelling of 100110100000001 in words is "one hundred trillion, one hundred ten billion, one hundred million, one", and thus it is an aban number.