102122221 has 2 divisors, whose sum is σ = 102122222. Its totient is φ = 102122220.

The previous prime is 102122219. The next prime is 102122227. The reversal of 102122221 is 122221201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95942025 + 6180196 = 9795^2 + 2486^2 .

It is an emirp because it is prime and its reverse (122221201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102122221 - 2¹ = 102122219 is a prime.

Together with 102122219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102122227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061110 + 51061111.

It is an arithmetic number, because the mean of its divisors is an integer number (51061111).

Almost surely, 2^102122221 is an apocalyptic number.

It is an amenable number.

102122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122221 is an equidigital number, since it uses as much as digits as its factorization.

102122221 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 13.

The square root of 102122221 is about 10105.5539679921. The cubic root of 102122221 is about 467.4194181795.

Adding to 102122221 its reverse (122221201), we get a palindrome (224343422).

The spelling of 102122221 in words is "one hundred two million, one hundred twenty-two thousand, two hundred twenty-one".