1000100001001 has 4 divisors (see below), whose sum is σ = 1001309312592. Its totient is φ = 998890689412.

The previous prime is 1000100000929. The next prime is 1000100001011. The reversal of 1000100001001 is 1001000010001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1000100001001 - 2¹⁵ = 1000099968233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000100001011) 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, 604654555 + ... + 604656208.

It is an arithmetic number, because the mean of its divisors is an integer number (250327328148).

Almost surely, 2^{1000100001001} is an apocalyptic number.

It is an amenable number.

1000100001001 is a deficient number, since it is larger than the sum of its proper divisors (1209311591).

1000100001001 is an equidigital number, since it uses as much as digits as its factorization.

1000100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209311590.

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

Adding to 1000100001001 its reverse (1001000010001), we get a palindrome (2001100011002).

The spelling of 1000100001001 in words is "one trillion, one hundred million, one thousand, one".