221102212010211 has 128 divisors (see below), whose sum is σ = 378550222848000. Its totient is φ = 124934461223040.

The previous prime is 221102212010209. The next prime is 221102212010227. The reversal of 221102212010211 is 112010212201122.

221102212010211 is a `hidden beast` number, since 2 + 21 + 10 + 221 + 201 + 0 + 211 = 666.

It is not a de Polignac number, because 221102212010211 - 2¹ = 221102212010209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221102212010201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25323808716 + ... + 25323817446.

It is an arithmetic number, because the mean of its divisors is an integer number (2957423616000).

Almost surely, 2^{221102212010211} is an apocalyptic number.

221102212010211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221102212010211 is a deficient number, since it is larger than the sum of its proper divisors (157448010837789).

221102212010211 is a wasteful number, since it uses less digits than its factorization.

221102212010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12240 counting only the distinct ones).

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

Adding to 221102212010211 its reverse (112010212201122), we get a palindrome (333112424211333).

The spelling of 221102212010211 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred twelve million, ten thousand, two hundred eleven".