10001001001 has 2 divisors, whose sum is σ = 10001001002. Its totient is φ = 10001001000.

The previous prime is 10001000939. The next prime is 10001001011. The reversal of 10001001001 is 10010010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6469789225 + 3531211776 = 80435^2 + 59424^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001001001 - 2³³ = 1411066409 is a prime.

10001001001 is a modest number, since divided by 1001001 gives 10 as remainder.

It is not a weakly prime, because it can be changed into another prime (10001001011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500500 + 5000500501.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500501).

Almost surely, 2^10001001001 is an apocalyptic number.

It is an amenable number.

10001001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001001001 is an equidigital number, since it uses as much as digits as its factorization.

10001001001 is an evil number, because the sum of its binary digits is even.

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

Adding to 10001001001 its reverse (10010010001), we get a palindrome (20011011002).

It can be divided in two parts, 1000 and 1001001, that added together give a palindrome (1002001).

The spelling of 10001001001 in words is "ten billion, one million, one thousand, one".