Search a number
-
+
122102202220121 is a prime number
BaseRepresentation
bin11011110000110100100010…
…011000111011111001011001
3121000022212010102010121020102
4123300310202120323321121
5112001010302232020441
61111404551034105145
734501410253214444
oct3360644230737131
9530285112117212
10122102202220121
11359a6286a56722
121184028457b1b5
13531925a7cb7b6
142221ac723865b
15e1b259d7769b
hex6f0d2263be59

122102202220121 has 2 divisors, whose sum is σ = 122102202220122. Its totient is φ = 122102202220120.

The previous prime is 122102202220081. The next prime is 122102202220169. The reversal of 122102202220121 is 121022202201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117096529843225 + 5005672376896 = 10821115^2 + 2237336^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102202220121 - 234 = 122085022350937 is a prime.

It is a super-2 number, since 2×1221022022201212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122102202220093 and 122102202220102.

It is not a weakly prime, because it can be changed into another prime (122102202220021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051101110060 + 61051101110061.

It is an arithmetic number, because the mean of its divisors is an integer number (61051101110061).

Almost surely, 2122102202220121 is an apocalyptic number.

It is an amenable number.

122102202220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102202220121 is an equidigital number, since it uses as much as digits as its factorization.

122102202220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122102202220121 its reverse (121022202201221), we get a palindrome (243124404421342).

The spelling of 122102202220121 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred two million, two hundred twenty thousand, one hundred twenty-one".