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102101212217 is a prime number
BaseRepresentation
bin101111100010110110…
…1001101110000111001
3100202112121102222112102
41133011231031300321
53133100402242332
6114523223153145
710243106661434
oct1370555156071
9322477388472
10102101212217
113a334521a24
12179555a57b5
139821c33294
144d2814481b
1529c8941062
hex17c5b4dc39

102101212217 has 2 divisors, whose sum is σ = 102101212218. Its totient is φ = 102101212216.

The previous prime is 102101212207. The next prime is 102101212219. The reversal of 102101212217 is 712212101201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74684144656 + 27417067561 = 273284^2 + 165581^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101212217 - 24 = 102101212201 is a prime.

Together with 102101212219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102101212219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050606108 + 51050606109.

It is an arithmetic number, because the mean of its divisors is an integer number (51050606109).

Almost surely, 2102101212217 is an apocalyptic number.

It is an amenable number.

102101212217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101212217 is an equidigital number, since it uses as much as digits as its factorization.

102101212217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 102101212217 its reverse (712212101201), we get a palindrome (814313313418).

The spelling of 102101212217 in words is "one hundred two billion, one hundred one million, two hundred twelve thousand, two hundred seventeen".