100001100000101 has 24 divisors (see below), whose sum is σ = 105829425424800. Its totient is φ = 94479322039200.

The previous prime is 100001100000083. The next prime is 100001100000119. The reversal of 100001100000101 is 101000001100001.

It is an interprime number because it is at equal distance from previous prime (100001100000083) and next prime (100001100000119).

It is a de Polignac number, because none of the positive numbers 2^k-100001100000101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001100000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1901894630 + ... + 1901947208.

It is an arithmetic number, because the mean of its divisors is an integer number (4409559392700).

Almost surely, 2^{100001100000101} is an apocalyptic number.

It is an amenable number.

100001100000101 is a deficient number, since it is larger than the sum of its proper divisors (5828325424699).

100001100000101 is a wasteful number, since it uses less digits than its factorization.

100001100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66897 (or 66878 counting only the distinct ones).

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

Adding to 100001100000101 its reverse (101000001100001), we get a palindrome (201001101100102).

The spelling of 100001100000101 in words is "one hundred trillion, one billion, one hundred million, one hundred one", and thus it is an aban number.