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102210100219 is a prime number
BaseRepresentation
bin101111100110000110…
…0100101101111111011
3100202211012100001210101
41133030030211233323
53133311241201334
6114542113100231
710245601342243
oct1371414455773
9322735301711
10102210100219
113a38aa34107
1217985b57677
13983b669456
144d387aab23
1529d329e214
hex17cc325bfb

102210100219 has 2 divisors, whose sum is σ = 102210100220. Its totient is φ = 102210100218.

The previous prime is 102210100199. The next prime is 102210100243. The reversal of 102210100219 is 912001012201.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (912001012201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102210100219 - 29 = 102210099707 is a prime.

It is a super-3 number, since 3×1022101002193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102210100196 and 102210100205.

It is not a weakly prime, because it can be changed into another prime (102210100019) 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, 51105050109 + 51105050110.

It is an arithmetic number, because the mean of its divisors is an integer number (51105050110).

Almost surely, 2102210100219 is an apocalyptic number.

102210100219 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210100219 is an equidigital number, since it uses as much as digits as its factorization.

102210100219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 102210100219 in words is "one hundred two billion, two hundred ten million, one hundred thousand, two hundred nineteen".