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122210102221 is a prime number
BaseRepresentation
bin111000111010001001…
…0100010101111001101
3102200110000212102210021
41301310102202233031
54000241241232341
6132050442342141
711554323505054
oct1616422425715
9380400772707
10122210102221
1147913464689
121b827aba951
13b6a8044c6c
145cb4a9339b
1532a401a9d1
hex1c744a2bcd

122210102221 has 2 divisors, whose sum is σ = 122210102222. Its totient is φ = 122210102220.

The previous prime is 122210102213. The next prime is 122210102233. The reversal of 122210102221 is 122201012221.

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., 75936069225 + 46274032996 = 275565^2 + 215114^2 .

It is an emirp because it is prime and its reverse (122201012221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122210102221 - 23 = 122210102213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122210102195 and 122210102204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122210102281) 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 as a sum of consecutive naturals, namely, 61105051110 + 61105051111.

It is an arithmetic number, because the mean of its divisors is an integer number (61105051111).

Almost surely, 2122210102221 is an apocalyptic number.

It is an amenable number.

122210102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210102221 is an equidigital number, since it uses as much as digits as its factorization.

122210102221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122210102221 its reverse (122201012221), we get a palindrome (244411114442).

The spelling of 122210102221 in words is "one hundred twenty-two billion, two hundred ten million, one hundred two thousand, two hundred twenty-one".