200001002001001 has 2 divisors, whose sum is σ = 200001002001002. Its totient is φ = 200001002001000.

The previous prime is 200001002000999. The next prime is 200001002001007. The reversal of 200001002001001 is 100100200100002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194921946488025 + 5079055512976 = 13961445^2 + 2253676^2 .

It is a cyclic number.

It is not a de Polignac number, because 200001002001001 - 2¹ = 200001002000999 is a prime.

Together with 200001002000999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (200001002001007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100000501000500 + 100000501000501.

It is an arithmetic number, because the mean of its divisors is an integer number (100000501000501).

Almost surely, 2^{200001002001001} is an apocalyptic number.

It is an amenable number.

200001002001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200001002001001 is an equidigital number, since it uses as much as digits as its factorization.

200001002001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200001002001001 its reverse (100100200100002), we get a palindrome (300101202101003).

The spelling of 200001002001001 in words is "two hundred trillion, one billion, two million, one thousand, one".