6006101001001 has 8 divisors (see below), whose sum is σ = 6213235408200. Its totient is φ = 5798968425600.

The previous prime is 6006101000947. The next prime is 6006101001031. The reversal of 6006101001001 is 1001001016006.

It can be written as a sum of positive squares in 4 ways, for example, as 64426622976 + 5941674378025 = 253824^2 + 2437555^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6006101001001 - 2²⁷ = 6005966783273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6006101001031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11547651 + ... + 12056551.

It is an arithmetic number, because the mean of its divisors is an integer number (776654426025).

Almost surely, 2^{6006101001001} is an apocalyptic number.

It is an amenable number.

6006101001001 is a deficient number, since it is larger than the sum of its proper divisors (207134407199).

6006101001001 is a wasteful number, since it uses less digits than its factorization.

6006101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915899.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 6006101001001 its reverse (1001001016006), we get a palindrome (7007102017007).

The spelling of 6006101001001 in words is "six trillion, six billion, one hundred one million, one thousand, one".