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123222100121 is a prime number
BaseRepresentation
bin111001011000010011…
…1000000100010011001
3102210001120010020220222
41302300213000202121
54004324324200441
6132335113125425
711621362366211
oct1626047004231
9383046106828
10123222100121
114829273268a
121ba6a9b9875
13b8098c31a3
145d6d245241
153312cbbd4b
hex1cb09c0899

123222100121 has 2 divisors, whose sum is σ = 123222100122. Its totient is φ = 123222100120.

The previous prime is 123222100081. The next prime is 123222100151. The reversal of 123222100121 is 121001222321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102294427225 + 20927672896 = 319835^2 + 144664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123222100121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123222100121.

It is not a weakly prime, because it can be changed into another prime (123222100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61611050060 + 61611050061.

It is an arithmetic number, because the mean of its divisors is an integer number (61611050061).

Almost surely, 2123222100121 is an apocalyptic number.

It is an amenable number.

123222100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123222100121 is an equidigital number, since it uses as much as digits as its factorization.

123222100121 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 123222100121 its reverse (121001222321), we get a palindrome (244223322442).

The spelling of 123222100121 in words is "one hundred twenty-three billion, two hundred twenty-two million, one hundred thousand, one hundred twenty-one".