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101201122189 is a prime number
BaseRepresentation
bin101111001000000001…
…1101001001110001101
3100200012212202200010201
41132100003221032031
53124224441402224
6114254031133501
710211600226316
oct1362003511615
9320185680121
10101201122189
1139a12438a72
1217744074291
13970a60792b
144c807a360d
1529748e7a44
hex17900e938d

101201122189 has 2 divisors, whose sum is σ = 101201122190. Its totient is φ = 101201122188.

The previous prime is 101201122171. The next prime is 101201122273. The reversal of 101201122189 is 981221102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78778455625 + 22422666564 = 280675^2 + 149742^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201122189 - 229 = 100664251277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600561094 + 50600561095.

It is an arithmetic number, because the mean of its divisors is an integer number (50600561095).

Almost surely, 2101201122189 is an apocalyptic number.

It is an amenable number.

101201122189 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201122189 is an equidigital number, since it uses as much as digits as its factorization.

101201122189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 101201122189 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, one hundred eighty-nine".