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122101010209 is a prime number
BaseRepresentation
bin111000110110111001…
…0011000111100100001
3102200011102120222200101
41301231302120330201
54000030324311314
6132031544222401
711551530314413
oct1615562307441
9380142528611
10122101010209
11478679231a2
121b7b746aa01
13b68b569c89
145ca43b69b3
15329966c174
hex1c6dc98f21

122101010209 has 2 divisors, whose sum is σ = 122101010210. Its totient is φ = 122101010208.

The previous prime is 122101010191. The next prime is 122101010219. The reversal of 122101010209 is 902010101221.

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., 107833424400 + 14267585809 = 328380^2 + 119447^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101010209 - 25 = 122101010177 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101010219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050505104 + 61050505105.

It is an arithmetic number, because the mean of its divisors is an integer number (61050505105).

Almost surely, 2122101010209 is an apocalyptic number.

It is an amenable number.

122101010209 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101010209 is an equidigital number, since it uses as much as digits as its factorization.

122101010209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 122101010209 in words is "one hundred twenty-two billion, one hundred one million, ten thousand, two hundred nine".