102200112221 has 2 divisors, whose sum is σ = 102200112222. Its totient is φ = 102200112220.

The previous prime is 102200112181. The next prime is 102200112239. The reversal of 102200112221 is 122211002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91593996025 + 10606116196 = 302645^2 + 102986^2 .

It is an emirp because it is prime and its reverse (122211002201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102200112221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200112196 and 102200112205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200112241) 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 as a sum of consecutive naturals, namely, 51100056110 + 51100056111.

It is an arithmetic number, because the mean of its divisors is an integer number (51100056111).

Almost surely, 2^102200112221 is an apocalyptic number.

It is an amenable number.

102200112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200112221 is an equidigital number, since it uses as much as digits as its factorization.

102200112221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102200112221 its reverse (122211002201), we get a palindrome (224411114422).

The spelling of 102200112221 in words is "one hundred two billion, two hundred million, one hundred twelve thousand, two hundred twenty-one".