Search a number
-
+
10001222201221 is a prime number
BaseRepresentation
bin1001000110001001011101…
…0010111110111110000101
31022102002220101000111201021
42101202113102332332011
52302330000340414341
633134255325031141
72051364416030206
oct221422722767605
938362811014637
1010001222201221
113206549223979
1211563790b54b1
1357715a424004
142680c159b5ad
1512524c3b69d1
hex918974bef85

10001222201221 has 2 divisors, whose sum is σ = 10001222201222. Its totient is φ = 10001222201220.

The previous prime is 10001222201177. The next prime is 10001222201227. The reversal of 10001222201221 is 12210222210001.

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., 9118956497121 + 882265704100 = 3019761^2 + 939290^2 .

It is an emirp because it is prime and its reverse (12210222210001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001222201221 - 231 = 9999074717573 is a prime.

It is a super-2 number, since 2×100012222012212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001222201195 and 10001222201204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001222201227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000611100610 + 5000611100611.

It is an arithmetic number, because the mean of its divisors is an integer number (5000611100611).

Almost surely, 210001222201221 is an apocalyptic number.

It is an amenable number.

10001222201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001222201221 is an equidigital number, since it uses as much as digits as its factorization.

10001222201221 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 10001222201221 its reverse (12210222210001), we get a palindrome (22211444411222).

The spelling of 10001222201221 in words is "ten trillion, one billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty-one".