2001010000001 has 2 divisors, whose sum is σ = 2001010000002. Its totient is φ = 2001010000000.

The previous prime is 2001009999977. The next prime is 2001010000021. The reversal of 2001010000001 is 1000000101002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1678641549376 + 322368450625 = 1295624^2 + 567775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001010000001 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2001010000001.

It is not a weakly prime, because it can be changed into another prime (2001010000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000505000000 + 1000505000001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000505000001).

Almost surely, 2^{2001010000001} is an apocalyptic number.

It is an amenable number.

2001010000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001010000001 is an equidigital number, since it uses as much as digits as its factorization.

2001010000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2001010000001 its reverse (1000000101002), we get a palindrome (3001010101003).

The spelling of 2001010000001 in words is "two trillion, one billion, ten million, one", and thus it is an aban number and an uban number.