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222122122200101 is a prime number
BaseRepresentation
bin110010100000010011010110…
…001100001100010000100101
31002010110200000121101221221102
4302200103112030030100211
5213103222101240400401
62104225254431125445
764533536153405264
oct6240232614142045
91063420017357842
10222122122200101
11648585102a7672
1220ab4909373885
1396c3045882b36
143cbcaa78625db
151aa2d8d35856b
hexca04d630c425

222122122200101 has 2 divisors, whose sum is σ = 222122122200102. Its totient is φ = 222122122200100.

The previous prime is 222122122200079. The next prime is 222122122200169. The reversal of 222122122200101 is 101002221221222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158669267767201 + 63452854432900 = 12596399^2 + 7965730^2 .

It is a cyclic number.

It is not a de Polignac number, because 222122122200101 - 222 = 222122118005797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222122122200701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111061061100050 + 111061061100051.

It is an arithmetic number, because the mean of its divisors is an integer number (111061061100051).

Almost surely, 2222122122200101 is an apocalyptic number.

It is an amenable number.

222122122200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222122122200101 is an equidigital number, since it uses as much as digits as its factorization.

222122122200101 is an evil number, because the sum of its binary digits is even.

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

Adding to 222122122200101 its reverse (101002221221222), we get a palindrome (323124343421323).

The spelling of 222122122200101 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred one".