401123201 has 2 divisors, whose sum is σ = 401123202. Its totient is φ = 401123200.

The previous prime is 401123159. The next prime is 401123207. The reversal of 401123201 is 102321104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372490000 + 28633201 = 19300^2 + 5351^2 .

It is a cyclic number.

It is not a de Polignac number, because 401123201 - 2¹⁰ = 401122177 is a prime.

It is not a weakly prime, because it can be changed into another prime (401123207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200561600 + 200561601.

It is an arithmetic number, because the mean of its divisors is an integer number (200561601).

Almost surely, 2^401123201 is an apocalyptic number.

It is an amenable number.

401123201 is a deficient number, since it is larger than the sum of its proper divisors (1).

401123201 is an equidigital number, since it uses as much as digits as its factorization.

401123201 is an odious number, because the sum of its binary digits is odd.

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

The square root of 401123201 is about 20028.0603404324. The cubic root of 401123201 is about 737.4953065295.

Adding to 401123201 its reverse (102321104), we get a palindrome (503444305).

The spelling of 401123201 in words is "four hundred one million, one hundred twenty-three thousand, two hundred one".