6001061101001 has 2 divisors, whose sum is σ = 6001061101002. Its totient is φ = 6001061101000.

The previous prime is 6001061100997. The next prime is 6001061101039. The reversal of 6001061101001 is 1001011601006.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5771333569600 + 229727531401 = 2402360^2 + 479299^2 .

It is a cyclic number.

It is not a de Polignac number, because 6001061101001 - 2² = 6001061100997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (6001061101051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3000530550500 + 3000530550501.

It is an arithmetic number, because the mean of its divisors is an integer number (3000530550501).

Almost surely, 2^{6001061101001} is an apocalyptic number.

It is an amenable number.

6001061101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6001061101001 is an equidigital number, since it uses as much as digits as its factorization.

6001061101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 6001061101001 its reverse (1001011601006), we get a palindrome (7002072702007).

The spelling of 6001061101001 in words is "six trillion, one billion, sixty-one million, one hundred one thousand, one".