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12120122100221 is a prime number
BaseRepresentation
bin1011000001011110111110…
…0100101000100111111101
31120220200011011000001022022
42300113233210220213331
53042034002224201341
641435523543325525
72360435632014152
oct260275744504775
946820134001268
1012120122100221
113953129a556a3
121438b644508a5
1369bbcbc87ab5
142dc88d22a229
15160413993e4b
hexb05ef9289fd

12120122100221 has 2 divisors, whose sum is σ = 12120122100222. Its totient is φ = 12120122100220.

The previous prime is 12120122100139. The next prime is 12120122100257. The reversal of 12120122100221 is 12200122102121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11686518288025 + 433603812196 = 3418555^2 + 658486^2 .

It is an emirp because it is prime and its reverse (12200122102121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12120122100221 - 226 = 12120054991357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12120122100221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120122100271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060061050110 + 6060061050111.

It is an arithmetic number, because the mean of its divisors is an integer number (6060061050111).

Almost surely, 212120122100221 is an apocalyptic number.

It is an amenable number.

12120122100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120122100221 is an equidigital number, since it uses as much as digits as its factorization.

12120122100221 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 17.

Adding to 12120122100221 its reverse (12200122102121), we get a palindrome (24320244202342).

The spelling of 12120122100221 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-one".