20000200002001 has 2 divisors, whose sum is σ = 20000200002002. Its totient is φ = 20000200002000.

The previous prime is 20000200001983. The next prime is 20000200002023. The reversal of 20000200002001 is 10020000200002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17781604646976 + 2218595355025 = 4216824^2 + 1489495^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000200002001 - 2¹⁷ = 20000199870929 is a prime.

It is not a weakly prime, because it can be changed into another prime (20000200002061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000100001000 + 10000100001001.

It is an arithmetic number, because the mean of its divisors is an integer number (10000100001001).

Almost surely, 2^{20000200002001} is an apocalyptic number.

It is an amenable number.

20000200002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000200002001 is an equidigital number, since it uses as much as digits as its factorization.

20000200002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20000200002001 its reverse (10020000200002), we get a palindrome (30020200202003).

The spelling of 20000200002001 in words is "twenty trillion, two hundred million, two thousand, one".