412105201 has 2 divisors, whose sum is σ = 412105202. Its totient is φ = 412105200.

The previous prime is 412105189. The next prime is 412105217. The reversal of 412105201 is 102501214.

It is an a-pointer prime, because the next prime (412105217) can be obtained adding 412105201 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206928225 + 205176976 = 14385^2 + 14324^2 .

It is a cyclic number.

It is not a de Polignac number, because 412105201 - 2⁷ = 412105073 is a prime.

It is not a weakly prime, because it can be changed into another prime (412105241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206052600 + 206052601.

It is an arithmetic number, because the mean of its divisors is an integer number (206052601).

Almost surely, 2^412105201 is an apocalyptic number.

It is an amenable number.

412105201 is a deficient number, since it is larger than the sum of its proper divisors (1).

412105201 is an equidigital number, since it uses as much as digits as its factorization.

412105201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 412105201 is about 20300.3744054143. The cubic root of 412105201 is about 744.1652142296.

Adding to 412105201 its reverse (102501214), we get a palindrome (514606415).

The spelling of 412105201 in words is "four hundred twelve million, one hundred five thousand, two hundred one".