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122101120189 is a prime number
BaseRepresentation
bin111000110110111001…
…0110011110010111101
3102200011102210120112201
41301231302303302331
54000030341321224
6132031550431501
711551531253146
oct1615562636275
9380142716481
10122101120189
1147867998894
121b7b7502591
13b68b5a8059
145ca4404acd
15329968ea44
hex1c6dcb3cbd

122101120189 has 2 divisors, whose sum is σ = 122101120190. Its totient is φ = 122101120188.

The previous prime is 122101120187. The next prime is 122101120199. The reversal of 122101120189 is 981021101221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119358503289 + 2742616900 = 345483^2 + 52370^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101120189 - 21 = 122101120187 is a prime.

Together with 122101120187, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122101120187) 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, 61050560094 + 61050560095.

It is an arithmetic number, because the mean of its divisors is an integer number (61050560095).

Almost surely, 2122101120189 is an apocalyptic number.

It is an amenable number.

122101120189 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101120189 is an equidigital number, since it uses as much as digits as its factorization.

122101120189 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 122101120189 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred eighty-nine".