Search a number
-
+
122100102221 is a prime number
BaseRepresentation
bin111000110110110111…
…0111011010001001101
3102200011100212212011012
41301231232323101031
54000030111232341
6132031512535005
711551516513256
oct1615556732115
9380140785135
10122100102221
1147867362a99
121b7b70b1465
13b68b30c8c6
145ca421bb2d
15329953d0eb
hex1c6dbbb44d

122100102221 has 2 divisors, whose sum is σ = 122100102222. Its totient is φ = 122100102220.

The previous prime is 122100102217. The next prime is 122100102343. The reversal of 122100102221 is 122201001221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121983246121 + 116856100 = 349261^2 + 10810^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100102221 - 22 = 122100102217 is a prime.

It is a super-3 number, since 3×1221001022213 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122100102196 and 122100102205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100182221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050051110 + 61050051111.

It is an arithmetic number, because the mean of its divisors is an integer number (61050051111).

Almost surely, 2122100102221 is an apocalyptic number.

It is an amenable number.

122100102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100102221 is an equidigital number, since it uses as much as digits as its factorization.

122100102221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122100102221 its reverse (122201001221), we get a palindrome (244301103442).

The spelling of 122100102221 in words is "one hundred twenty-two billion, one hundred million, one hundred two thousand, two hundred twenty-one".