211830568601 has 2 divisors, whose sum is σ = 211830568602. Its totient is φ = 211830568600.

The previous prime is 211830568549. The next prime is 211830568633. The reversal of 211830568601 is 106865038112.

211830568601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190798608025 + 21031960576 = 436805^2 + 145024^2 .

It is a cyclic number.

It is not a de Polignac number, because 211830568601 - 2²⁶ = 211763459737 is a prime.

It is not a weakly prime, because it can be changed into another prime (211830568501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105915284300 + 105915284301.

It is an arithmetic number, because the mean of its divisors is an integer number (105915284301).

Almost surely, 2^211830568601 is an apocalyptic number.

It is an amenable number.

211830568601 is a deficient number, since it is larger than the sum of its proper divisors (1).

211830568601 is an equidigital number, since it uses as much as digits as its factorization.

211830568601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 211830568601 in words is "two hundred eleven billion, eight hundred thirty million, five hundred sixty-eight thousand, six hundred one".