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122113100120129 is a prime number
BaseRepresentation
bin11011110000111110101011…
…111101001000000001000001
3121000100220020220110021121122
4123300332223331020001001
5112001200112112321004
61111413552254002025
734502244312640616
oct3360765375100101
9530326226407548
10122113100120129
11359aa969599258
12118424061a6315
13531a2a6528841
14222243c72c50d
15e1b696999cbe
hex6f0fabf48041

122113100120129 has 2 divisors, whose sum is σ = 122113100120130. Its totient is φ = 122113100120128.

The previous prime is 122113100120107. The next prime is 122113100120147. The reversal of 122113100120129 is 921021001311221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108880042393600 + 13233057726529 = 10434560^2 + 3637727^2 .

It is an emirp because it is prime and its reverse (921021001311221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122113100120129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122113100120098 and 122113100120107.

It is not a weakly prime, because it can be changed into another prime (122113100120159) 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, 61056550060064 + 61056550060065.

It is an arithmetic number, because the mean of its divisors is an integer number (61056550060065).

Almost surely, 2122113100120129 is an apocalyptic number.

It is an amenable number.

122113100120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113100120129 is an equidigital number, since it uses as much as digits as its factorization.

122113100120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 122113100120129 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred million, one hundred twenty thousand, one hundred twenty-nine".