100100001001001 has 4 divisors (see below), whose sum is σ = 100472119964100. Its totient is φ = 99727882037904.

The previous prime is 100100001000971. The next prime is 100100001001043. The reversal of 100100001001001 is 100100100001001.

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 7767792629776 + 92332208371225 = 2787076^2 + 9608965^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100001001001 - 2¹⁴ = 100100000984617 is a prime.

It is a Duffinian number.

100100001001001 is a modest number, since divided by 1001001 gives 100100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100100001000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186059481146 + ... + 186059481683.

It is an arithmetic number, because the mean of its divisors is an integer number (25118029991025).

Almost surely, 2^{100100001001001} is an apocalyptic number.

It is an amenable number.

100100001001001 is a deficient number, since it is larger than the sum of its proper divisors (372118963099).

100100001001001 is an equidigital number, since it uses as much as digits as its factorization.

100100001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372118963098.

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

Adding to 100100001001001 its reverse (100100100001001), we get a palindrome (200200101002002).

The spelling of 100100001001001 in words is "one hundred trillion, one hundred billion, one million, one thousand, one".