102212210221 has 16 divisors (see below), whose sum is σ = 112203399168. Its totient is φ = 92337865200.

The previous prime is 102212210189. The next prime is 102212210239. The reversal of 102212210221 is 122012212201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102212210221 - 2⁵ = 102212210189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212210195 and 102212210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212210281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10103956 + ... + 10114066.

It is an arithmetic number, because the mean of its divisors is an integer number (7012712448).

Almost surely, 2^102212210221 is an apocalyptic number.

102212210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212210221 is a deficient number, since it is larger than the sum of its proper divisors (9991188947).

102212210221 is a wasteful number, since it uses less digits than its factorization.

102212210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15792.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102212210221 its reverse (122012212201), we get a palindrome (224224422422).

The spelling of 102212210221 in words is "one hundred two billion, two hundred twelve million, two hundred ten thousand, two hundred twenty-one".