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100122100097 is a prime number
BaseRepresentation
bin101110100111110111…
…1100000000110000001
3100120102200101200002112
41131033233200012001
53120022224200342
6113555004025105
710143055544315
oct1351757400601
9316380350075
10100122100097
1139509351778
12174a2832195
139597bc0516
144bbb365b45
15290ed07682
hex174fbe0181

100122100097 has 2 divisors, whose sum is σ = 100122100098. Its totient is φ = 100122100096.

The previous prime is 100122100037. The next prime is 100122100217. The reversal of 100122100097 is 790001221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68206634896 + 31915465201 = 261164^2 + 178649^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122100097 - 214 = 100122083713 is a prime.

It is not a weakly prime, because it can be changed into another prime (100122100037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061050048 + 50061050049.

It is an arithmetic number, because the mean of its divisors is an integer number (50061050049).

Almost surely, 2100122100097 is an apocalyptic number.

It is an amenable number.

100122100097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122100097 is an equidigital number, since it uses as much as digits as its factorization.

100122100097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 23.

Adding to 100122100097 its reverse (790001221001), we get a palindrome (890123321098).

The spelling of 100122100097 in words is "one hundred billion, one hundred twenty-two million, one hundred thousand, ninety-seven".