1020000200201 has 2 divisors, whose sum is σ = 1020000200202. Its totient is φ = 1020000200200.

The previous prime is 1020000200161. The next prime is 1020000200203. The reversal of 1020000200201 is 1020020000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 924864966601 + 95135233600 = 961699^2 + 308440^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020000200201 - 2¹⁰ = 1020000199177 is a prime.

Together with 1020000200203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1020000200203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510000100100 + 510000100101.

It is an arithmetic number, because the mean of its divisors is an integer number (510000100101).

Almost surely, 2^{1020000200201} is an apocalyptic number.

It is an amenable number.

1020000200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020000200201 is an equidigital number, since it uses as much as digits as its factorization.

1020000200201 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 8.

Adding to 1020000200201 its reverse (1020020000201), we get a palindrome (2040020200402).

The spelling of 1020000200201 in words is "one trillion, twenty billion, two hundred thousand, two hundred one".