100000100001001 has 4 divisors (see below), whose sum is σ = 100885056638292. Its totient is φ = 99115143363712.

The previous prime is 100000100000963. The next prime is 100000100001019. The reversal of 100000100001001 is 100100001000001.

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 9192084104025 + 90808015896976 = 3031845^2 + 9529324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000100001001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000100001091) 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, 442478318476 + ... + 442478318701.

It is an arithmetic number, because the mean of its divisors is an integer number (25221264159573).

Almost surely, 2^{100000100001001} is an apocalyptic number.

It is an amenable number.

100000100001001 is a deficient number, since it is larger than the sum of its proper divisors (884956637291).

100000100001001 is an equidigital number, since it uses as much as digits as its factorization.

100000100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884956637290.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000100001001 its reverse (100100001000001), we get a palindrome (200100101001002).

It can be divided in two parts, 100000 and 100001001, that added together give a palindrome (100101001).

The spelling of 100000100001001 in words is "one hundred trillion, one hundred million, one thousand, one".