221102100202221 has 18 divisors (see below), whose sum is σ = 371511692177262. Its totient is φ = 126344057258160.

The previous prime is 221102100202157. The next prime is 221102100202261. The reversal of 221102100202221 is 122202001201122.

It is a happy number.

221102100202221 is a `hidden beast` number, since 2 + 21 + 10 + 210 + 0 + 202 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 189240466860900 + 31861633341321 = 13756470^2 + 5644611^2 .

It is not a de Polignac number, because 221102100202221 - 2⁶ = 221102100202157 is a prime.

It is a super-2 number, since 2×221102100202221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221102100202194 and 221102100202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102100202261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 250682652850 + ... + 250682653731.

Almost surely, 2^{221102100202221} is an apocalyptic number.

221102100202221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221102100202221 is a deficient number, since it is larger than the sum of its proper divisors (150409591975041).

221102100202221 is a wasteful number, since it uses less digits than its factorization.

221102100202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501365306601 (or 501365306591 counting only the distinct ones).

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

Adding to 221102100202221 its reverse (122202001201122), we get a palindrome (343304101403343).

The spelling of 221102100202221 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred million, two hundred two thousand, two hundred twenty-one".