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122102202241 is a prime number
BaseRepresentation
bin111000110110111011…
…0111011111110000001
3102200011111211112211201
41301231312323332001
54000031130432431
6132032025541201
711551543410625
oct1615566737601
9380144745751
10122102202241
1147868567848
121b7b7944801
13b68b896716
145ca4607185
153299805461
hex1c6ddbbf81

122102202241 has 2 divisors, whose sum is σ = 122102202242. Its totient is φ = 122102202240.

The previous prime is 122102202199. The next prime is 122102202247. The reversal of 122102202241 is 142202201221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119107814400 + 2994387841 = 345120^2 + 54721^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102202241 - 27 = 122102202113 is a prime.

It is not a weakly prime, because it can be changed into another prime (122102202247) 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, 61051101120 + 61051101121.

It is an arithmetic number, because the mean of its divisors is an integer number (61051101121).

Almost surely, 2122102202241 is an apocalyptic number.

It is an amenable number.

122102202241 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102202241 is an equidigital number, since it uses as much as digits as its factorization.

122102202241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122102202241 its reverse (142202201221), we get a palindrome (264304403462).

The spelling of 122102202241 in words is "one hundred twenty-two billion, one hundred two million, two hundred two thousand, two hundred forty-one".