212211133362601 has 2 divisors, whose sum is σ = 212211133362602. Its totient is φ = 212211133362600.

The previous prime is 212211133362541. The next prime is 212211133362617. The reversal of 212211133362601 is 106263331112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114685336847376 + 97525796515225 = 10709124^2 + 9875515^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211133362601 - 2³⁹ = 211661377548713 is a prime.

It is not a weakly prime, because it can be changed into another prime (212211133362101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105566681300 + 106105566681301.

It is an arithmetic number, because the mean of its divisors is an integer number (106105566681301).

Almost surely, 2^{212211133362601} is an apocalyptic number.

It is an amenable number.

212211133362601 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211133362601 is an equidigital number, since it uses as much as digits as its factorization.

212211133362601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 212211133362601 its reverse (106263331112212), we get a palindrome (318474464474813).

The spelling of 212211133362601 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred thirty-three million, three hundred sixty-two thousand, six hundred one".