200202210020801 has 2 divisors, whose sum is σ = 200202210020802. Its totient is φ = 200202210020800.

The previous prime is 200202210020783. The next prime is 200202210020809. The reversal of 200202210020801 is 108020012202002.

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., 169857525043600 + 30344684977201 = 13032940^2 + 5508601^2 .

It is a cyclic number.

It is not a de Polignac number, because 200202210020801 - 2¹⁸ = 200202209758657 is a prime.

It is not a weakly prime, because it can be changed into another prime (200202210020809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100101105010400 + 100101105010401.

It is an arithmetic number, because the mean of its divisors is an integer number (100101105010401).

Almost surely, 2^{200202210020801} is an apocalyptic number.

It is an amenable number.

200202210020801 is a deficient number, since it is larger than the sum of its proper divisors (1).

200202210020801 is an equidigital number, since it uses as much as digits as its factorization.

200202210020801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 200202210020801 its reverse (108020012202002), we get a palindrome (308222222222803).

The spelling of 200202210020801 in words is "two hundred trillion, two hundred two billion, two hundred ten million, twenty thousand, eight hundred one".