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122103201122009 is a prime number
BaseRepresentation
bin11011110000110101011101…
…111011011100011011011001
3121000022221201000202002000122
4123300311131323130123121
5112001014323441401014
61111405234120043025
734501444102563032
oct3360653573343331
9530287630662018
10122103201122009
11359a674989a478
1211840503003475
135319389742bc3
142221b7db7ba89
15e1b2b78dd58e
hex6f0d5dedc6d9

122103201122009 has 2 divisors, whose sum is σ = 122103201122010. Its totient is φ = 122103201122008.

The previous prime is 122103201121999. The next prime is 122103201122027. The reversal of 122103201122009 is 900221102301221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105803030323600 + 16300170798409 = 10286060^2 + 4037347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122103201122009 is a prime.

It is not a weakly prime, because it can be changed into another prime (122103201122029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051600561004 + 61051600561005.

It is an arithmetic number, because the mean of its divisors is an integer number (61051600561005).

Almost surely, 2122103201122009 is an apocalyptic number.

It is an amenable number.

122103201122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122103201122009 is an equidigital number, since it uses as much as digits as its factorization.

122103201122009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 122103201122009 in words is "one hundred twenty-two trillion, one hundred three billion, two hundred one million, one hundred twenty-two thousand, nine".