Search a number
-
+
102102023201 is a prime number
BaseRepresentation
bin101111100010111000…
…0010011110000100001
3100202112122222011222212
41133011300103300201
53133101104220301
6114523252411505
710243116610013
oct1370560236041
9322478864885
10102102023201
113a334a26262
1217955916b95
139822158459
144d282b61b3
1529c8a514bb
hex17c5c13c21

102102023201 has 2 divisors, whose sum is σ = 102102023202. Its totient is φ = 102102023200.

The previous prime is 102102023161. The next prime is 102102023203. The reversal of 102102023201 is 102320201201.

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., 60787395601 + 41314627600 = 246551^2 + 203260^2 .

It is an emirp because it is prime and its reverse (102320201201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102102023201 - 210 = 102102022177 is a prime.

Together with 102102023203, 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 (102102023203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051011600 + 51051011601.

It is an arithmetic number, because the mean of its divisors is an integer number (51051011601).

Almost surely, 2102102023201 is an apocalyptic number.

It is an amenable number.

102102023201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102023201 is an equidigital number, since it uses as much as digits as its factorization.

102102023201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102102023201 its reverse (102320201201), we get a palindrome (204422224402).

The spelling of 102102023201 in words is "one hundred two billion, one hundred two million, twenty-three thousand, two hundred one".