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100522222121 is a prime number
BaseRepresentation
bin101110110011110010…
…1110110001000101001
3100121110120021222022202
41131213211312020221
53121332142101441
6114102420025545
710156014534656
oct1354745661051
9317416258282
10100522222121
11396a41a0332
12175948322b5
13962ca75509
144c1855cc2d
152934ee219b
hex1767976229

100522222121 has 2 divisors, whose sum is σ = 100522222122. Its totient is φ = 100522222120.

The previous prime is 100522222103. The next prime is 100522222123. The reversal of 100522222121 is 121222225001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81681640000 + 18840582121 = 285800^2 + 137261^2 .

It is an emirp because it is prime and its reverse (121222225001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100522222121 - 210 = 100522221097 is a prime.

Together with 100522222123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100522222093 and 100522222102.

It is not a weakly prime, because it can be changed into another prime (100522222123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50261111060 + 50261111061.

It is an arithmetic number, because the mean of its divisors is an integer number (50261111061).

Almost surely, 2100522222121 is an apocalyptic number.

It is an amenable number.

100522222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100522222121 is an equidigital number, since it uses as much as digits as its factorization.

100522222121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 100522222121 its reverse (121222225001), we get a palindrome (221744447122).

The spelling of 100522222121 in words is "one hundred billion, five hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-one".