211100221221201 has 48 divisors (see below), whose sum is σ = 331218217774080. Its totient is φ = 128789065359360.

The previous prime is 211100221221187. The next prime is 211100221221203. The reversal of 211100221221201 is 102122122001112.

211100221221201 is a `hidden beast` number, since 2 + 11 + 10 + 0 + 221 + 221 + 201 = 666.

It is not a de Polignac number, because 211100221221201 - 2⁹ = 211100221220689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211100221221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10291761 + ... + 22980878.

It is an arithmetic number, because the mean of its divisors is an integer number (6900379536960).

Almost surely, 2^{211100221221201} is an apocalyptic number.

It is an amenable number.

211100221221201 is a deficient number, since it is larger than the sum of its proper divisors (120117996552879).

211100221221201 is a wasteful number, since it uses less digits than its factorization.

211100221221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33273126 (or 33273123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211100221221201 its reverse (102122122001112), we get a palindrome (313222343222313).

The spelling of 211100221221201 in words is "two hundred eleven trillion, one hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred one".