6006100600001 has 2 divisors, whose sum is σ = 6006100600002. Its totient is φ = 6006100600000.

The previous prime is 6006100599997. The next prime is 6006100600009. The reversal of 6006100600001 is 1000060016006.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5722027589776 + 284073010225 = 2392076^2 + 532985^2 .

It is a cyclic number.

It is not a de Polignac number, because 6006100600001 - 2² = 6006100599997 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 (6006100600009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3003050300000 + 3003050300001.

It is an arithmetic number, because the mean of its divisors is an integer number (3003050300001).

Almost surely, 2^{6006100600001} is an apocalyptic number.

It is an amenable number.

6006100600001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6006100600001 is an equidigital number, since it uses as much as digits as its factorization.

6006100600001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 6006100600001 its reverse (1000060016006), we get a palindrome (7006160616007).

The spelling of 6006100600001 in words is "six trillion, six billion, one hundred million, six hundred thousand, one".