Search a number
-
+
102102210107 is a prime number
BaseRepresentation
bin101111100010111000…
…1000001011000111011
3100202112200022200101022
41133011301001120323
53133101131210412
6114523300413055
710243121315642
oct1370561013073
9322480280338
10102102210107
113a335043727
12179559a718b
1398221c2551
144d28324359
1529c8a8ba72
hex17c5c4163b

102102210107 has 2 divisors, whose sum is σ = 102102210108. Its totient is φ = 102102210106.

The previous prime is 102102210073. The next prime is 102102210109. The reversal of 102102210107 is 701012201201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102102210107 - 28 = 102102209851 is a prime.

It is a super-4 number, since 4×1021022101074 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 102102210109, 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 (102102210109) 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, 51051105053 + 51051105054.

It is an arithmetic number, because the mean of its divisors is an integer number (51051105054).

Almost surely, 2102102210107 is an apocalyptic number.

102102210107 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102210107 is an equidigital number, since it uses as much as digits as its factorization.

102102210107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 102102210107 its reverse (701012201201), we get a palindrome (803114411308).

The spelling of 102102210107 in words is "one hundred two billion, one hundred two million, two hundred ten thousand, one hundred seven".