6000010001001 has 6 divisors (see below), whose sum is σ = 8666681112570. Its totient is φ = 4000006667328.

The previous prime is 6000010000993. The next prime is 6000010001003. The reversal of 6000010001001 is 1001000100006.

It can be written as a sum of positive squares in only one way, i.e., 5308651010601 + 691358990400 = 2304051^2 + 831480^2 .

It is not a de Polignac number, because 6000010001001 - 2³ = 6000010000993 is a prime.

It is a super-2 number, since 2×6000010001001² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 666667777889 = 6000010001001 / (6 + 0 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (6000010001003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333333888936 + ... + 333333888953.

It is an arithmetic number, because the mean of its divisors is an integer number (1444446852095).

Almost surely, 2^{6000010001001} is an apocalyptic number.

It is an amenable number.

6000010001001 is a deficient number, since it is larger than the sum of its proper divisors (2666671111569).

6000010001001 is a wasteful number, since it uses less digits than its factorization.

6000010001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666667777895 (or 666667777892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 6000010001001 its reverse (1001000100006), we get a palindrome (7001010101007).

The spelling of 6000010001001 in words is "six trillion, ten million, one thousand, one".