10010001001001 has 4 divisors (see below), whose sum is σ = 10010009362692. Its totient is φ = 10009992639312.

The previous prime is 10010001000973. The next prime is 10010001001009. The reversal of 10010001001001 is 10010010001001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 2738478877225 + 7271522123776 = 1654835^2 + 2696576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010001001001 is a prime.

It is a Duffinian number.

10010001001001 is a modest number, since divided by 1001001 gives 10010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10010001001009) 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, 2009126 + ... + 4904751.

It is an arithmetic number, because the mean of its divisors is an integer number (2502502340673).

Almost surely, 2^{10010001001001} is an apocalyptic number.

It is an amenable number.

10010001001001 is a deficient number, since it is larger than the sum of its proper divisors (8361691).

10010001001001 is an equidigital number, since it uses as much as digits as its factorization.

10010001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361690.

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

Adding to 10010001001001 its reverse (10010010001001), we get a palindrome (20020011002002).

Subtracting 10010001001001 from its reverse (10010010001001), we obtain a square (9000000 = 3000²).

The spelling of 10010001001001 in words is "ten trillion, ten billion, one million, one thousand, one".