211211221012801 has 2 divisors, whose sum is σ = 211211221012802. Its totient is φ = 211211221012800.

The previous prime is 211211221012793. The next prime is 211211221012837. The reversal of 211211221012801 is 108210122112112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197386202336400 + 13825018676401 = 14049420^2 + 3718201^2 .

It is a cyclic number.

It is not a de Polignac number, because 211211221012801 - 2³ = 211211221012793 is a prime.

It is a super-2 number, since 2×211211221012801² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211211221082801) 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, 105605610506400 + 105605610506401.

It is an arithmetic number, because the mean of its divisors is an integer number (105605610506401).

Almost surely, 2^{211211221012801} is an apocalyptic number.

It is an amenable number.

211211221012801 is a deficient number, since it is larger than the sum of its proper divisors (1).

211211221012801 is an equidigital number, since it uses as much as digits as its factorization.

211211221012801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 25.

Adding to 211211221012801 its reverse (108210122112112), we get a palindrome (319421343124913).

The spelling of 211211221012801 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-one million, twelve thousand, eight hundred one".