Search a number
-
+
122021220221 is a prime number
BaseRepresentation
bin111000110100100001…
…0000000111101111101
3102122221212110020101122
41301221002000331331
53444344413021341
6132020014120325
711546541154505
oct1615102007575
9378855406348
10122021220221
114782688585a
121b7947b00a5
13b677b81374
145c97966a05
15329265a94b
hex1c69080f7d

122021220221 has 2 divisors, whose sum is σ = 122021220222. Its totient is φ = 122021220220.

The previous prime is 122021220179. The next prime is 122021220259. The reversal of 122021220221 is 122022120221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107171116900 + 14850103321 = 327370^2 + 121861^2 .

It is an emirp because it is prime and its reverse (122022120221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122021220221 - 210 = 122021219197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122021220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122021220421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010610110 + 61010610111.

It is an arithmetic number, because the mean of its divisors is an integer number (61010610111).

Almost surely, 2122021220221 is an apocalyptic number.

It is an amenable number.

122021220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021220221 is an equidigital number, since it uses as much as digits as its factorization.

122021220221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122021220221 its reverse (122022120221), we get a palindrome (244043340442).

The spelling of 122021220221 in words is "one hundred twenty-two billion, twenty-one million, two hundred twenty thousand, two hundred twenty-one".