401006201 has 2 divisors, whose sum is σ = 401006202. Its totient is φ = 401006200.

The previous prime is 401006167. The next prime is 401006227. The reversal of 401006201 is 102600104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336685801 + 64320400 = 18349^2 + 8020^2 .

It is a cyclic number.

It is not a de Polignac number, because 401006201 - 2²² = 396811897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (401005201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200503100 + 200503101.

It is an arithmetic number, because the mean of its divisors is an integer number (200503101).

Almost surely, 2^401006201 is an apocalyptic number.

It is an amenable number.

401006201 is a deficient number, since it is larger than the sum of its proper divisors (1).

401006201 is an equidigital number, since it uses as much as digits as its factorization.

401006201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 401006201 is about 20025.1392254836. The cubic root of 401006201 is about 737.4235951107.

Adding to 401006201 its reverse (102600104), we get a palindrome (503606305).

The spelling of 401006201 in words is "four hundred one million, six thousand, two hundred one".