1000820201 has 2 divisors, whose sum is σ = 1000820202. Its totient is φ = 1000820200.

The previous prime is 1000820129. The next prime is 1000820251. The reversal of 1000820201 is 1020280001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 636048400 + 364771801 = 25220^2 + 19099^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000820201 - 2¹⁰ = 1000819177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000820251) 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, 500410100 + 500410101.

It is an arithmetic number, because the mean of its divisors is an integer number (500410101).

Almost surely, 2^1000820201 is an apocalyptic number.

It is an amenable number.

1000820201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000820201 is an equidigital number, since it uses as much as digits as its factorization.

1000820201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1000820201 is about 31635.7424600720. The cubic root of 1000820201 is about 1000.2733256196.

The spelling of 1000820201 in words is "one billion, eight hundred twenty thousand, two hundred one".