10001000001001 has 4 divisors (see below), whose sum is σ = 10062355829392. Its totient is φ = 9939644172612.

The previous prime is 10001000000963. The next prime is 10001000001007. The reversal of 10001000001001 is 10010000010001.

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 10001000001001 - 2⁹ = 10001000000489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001000001007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30677913951 + ... + 30677914276.

It is an arithmetic number, because the mean of its divisors is an integer number (2515588957348).

Almost surely, 2^{10001000001001} is an apocalyptic number.

It is an amenable number.

10001000001001 is a deficient number, since it is larger than the sum of its proper divisors (61355828391).

10001000001001 is an equidigital number, since it uses as much as digits as its factorization.

10001000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61355828390.

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

Adding to 10001000001001 its reverse (10010000010001), we get a palindrome (20011000011002).

The spelling of 10001000001001 in words is "ten trillion, one billion, one thousand, one".