4114312022201 has 2 divisors, whose sum is σ = 4114312022202. Its totient is φ = 4114312022200.

The previous prime is 4114312022153. The next prime is 4114312022257. The reversal of 4114312022201 is 1022202134114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2423700966976 + 1690611055225 = 1556824^2 + 1300235^2 .

It is a cyclic number.

It is not a de Polignac number, because 4114312022201 - 2⁶ = 4114312022137 is a prime.

It is not a weakly prime, because it can be changed into another prime (4414312022201) 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, 2057156011100 + 2057156011101.

It is an arithmetic number, because the mean of its divisors is an integer number (2057156011101).

Almost surely, 2^{4114312022201} is an apocalyptic number.

It is an amenable number.

4114312022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

4114312022201 is an equidigital number, since it uses as much as digits as its factorization.

4114312022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 4114312022201 its reverse (1022202134114), we get a palindrome (5136514156315).

The spelling of 4114312022201 in words is "four trillion, one hundred fourteen billion, three hundred twelve million, twenty-two thousand, two hundred one".