102112221210221 has 2 divisors, whose sum is σ = 102112221210222. Its totient is φ = 102112221210220.

The previous prime is 102112221210199. The next prime is 102112221210239. The reversal of 102112221210221 is 122012122211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78946530254596 + 23165690955625 = 8885186^2 + 4813075^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112221210221 - 2⁶ = 102112221210157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112221210193 and 102112221210202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112221210121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056110605110 + 51056110605111.

It is an arithmetic number, because the mean of its divisors is an integer number (51056110605111).

Almost surely, 2^{102112221210221} is an apocalyptic number.

It is an amenable number.

102112221210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112221210221 is an equidigital number, since it uses as much as digits as its factorization.

102112221210221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102112221210221 its reverse (122012122211201), we get a palindrome (224124343421422).

The spelling of 102112221210221 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty-one".