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122100000097 is a prime number
BaseRepresentation
bin111000110110110111…
…0100010010101100001
3102200011100200200001211
41301231232202111201
54000030100000342
6132031510430121
711551515606445
oct1615556422541
9380140620054
10122100000097
11478672a3299
121b7b7062341
13b68b2a528a
145ca41d2825
15329951cc17
hex1c6dba2561

122100000097 has 2 divisors, whose sum is σ = 122100000098. Its totient is φ = 122100000096.

The previous prime is 122100000091. The next prime is 122100000119. The reversal of 122100000097 is 790000001221.

It is an a-pointer prime, because the next prime (122100000119) can be obtained adding 122100000097 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82213519441 + 39886480656 = 286729^2 + 199716^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100000097 - 231 = 119952516449 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050000048 + 61050000049.

It is an arithmetic number, because the mean of its divisors is an integer number (61050000049).

Almost surely, 2122100000097 is an apocalyptic number.

It is an amenable number.

122100000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100000097 is an equidigital number, since it uses as much as digits as its factorization.

122100000097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 122100000097 in words is "one hundred twenty-two billion, one hundred million, ninety-seven", and thus it is an aban number.