211202202100221 has 48 divisors (see below), whose sum is σ = 311782591411200. Its totient is φ = 137741885475840.

The previous prime is 211202202100217. The next prime is 211202202100271. The reversal of 211202202100221 is 122001202202112.

It is a happy number.

211202202100221 is a `hidden beast` number, since 2 + 1 + 12 + 0 + 220 + 210 + 0 + 221 = 666.

It is not a de Polignac number, because 211202202100221 - 2² = 211202202100217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211202202100194 and 211202202100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211202202100271) 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 in 47 ways as a sum of consecutive naturals, for example, 46475380 + ... + 50816978.

It is an arithmetic number, because the mean of its divisors is an integer number (6495470654400).

Almost surely, 2^{211202202100221} is an apocalyptic number.

It is an amenable number.

211202202100221 is a deficient number, since it is larger than the sum of its proper divisors (100580389310979).

211202202100221 is a wasteful number, since it uses less digits than its factorization.

211202202100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342346 (or 4342343 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211202202100221 its reverse (122001202202112), we get a palindrome (333203404302333).

The spelling of 211202202100221 in words is "two hundred eleven trillion, two hundred two billion, two hundred two million, one hundred thousand, two hundred twenty-one".