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123021122201 is a prime number
BaseRepresentation
bin111001010010010100…
…0010101101010011001
3102202112112221112001022
41302210220111222121
54003421401402301
6132303133332225
711613402166565
oct1624450255231
9382475845038
10123021122201
114819a241a2a
121ba13637075
13b7a7085a43
145d5068a6a5
15330031cd1b
hex1ca4a15a99

123021122201 has 2 divisors, whose sum is σ = 123021122202. Its totient is φ = 123021122200.

The previous prime is 123021122179. The next prime is 123021122219. The reversal of 123021122201 is 102221120321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70270057225 + 52751064976 = 265085^2 + 229676^2 .

It is a cyclic number.

It is not a de Polignac number, because 123021122201 - 26 = 123021122137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123021122201.

It is not a weakly prime, because it can be changed into another prime (123021122291) 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, 61510561100 + 61510561101.

It is an arithmetic number, because the mean of its divisors is an integer number (61510561101).

Almost surely, 2123021122201 is an apocalyptic number.

It is an amenable number.

123021122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123021122201 is an equidigital number, since it uses as much as digits as its factorization.

123021122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 123021122201 its reverse (102221120321), we get a palindrome (225242242522).

The spelling of 123021122201 in words is "one hundred twenty-three billion, twenty-one million, one hundred twenty-two thousand, two hundred one".