100001000001101 has 4 divisors (see below), whose sum is σ = 100637949045852. Its totient is φ = 99364050956352.

The previous prime is 100001000001061. The next prime is 100001000001109. The reversal of 100001000001101 is 101100000100001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8423258221225 + 91577741779876 = 2902285^2 + 9569626^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001000001101 - 2¹⁸ = 100000999738957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001000001109) 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 3 ways as a sum of consecutive naturals, for example, 318474522140 + ... + 318474522453.

It is an arithmetic number, because the mean of its divisors is an integer number (25159487261463).

Almost surely, 2^{100001000001101} is an apocalyptic number.

It is an amenable number.

100001000001101 is a deficient number, since it is larger than the sum of its proper divisors (636949044751).

100001000001101 is an equidigital number, since it uses as much as digits as its factorization.

100001000001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636949044750.

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

Adding to 100001000001101 its reverse (101100000100001), we get a palindrome (201101000101102).

The spelling of 100001000001101 in words is "one hundred trillion, one billion, one thousand, one hundred one".