20001010000001 has 2 divisors, whose sum is σ = 20001010000002. Its totient is φ = 20001010000000.

The previous prime is 20001009999967. The next prime is 20001010000003. The reversal of 20001010000001 is 10000001010002.

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., 17711901519601 + 2289108480400 = 4208551^2 + 1512980^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001010000001 - 2⁶ = 20001009999937 is a prime.

It is a Sophie Germain prime.

Together with 20001010000003, it forms a pair of twin primes.

It is a Chen 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 20001010000001.

It is not a weakly prime, because it can be changed into another prime (20001010000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000505000000 + 10000505000001.

It is an arithmetic number, because the mean of its divisors is an integer number (10000505000001).

Almost surely, 2^{20001010000001} is an apocalyptic number.

It is an amenable number.

20001010000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001010000001 is an equidigital number, since it uses as much as digits as its factorization.

20001010000001 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 20001010000001 its reverse (10000001010002), we get a palindrome (30001011010003).

The spelling of 20001010000001 in words is "twenty trillion, one billion, ten million, one", and thus it is an aban number and an uban number.