Search a number
-
+
102021212021 is a prime number
BaseRepresentation
bin101111100000011110…
…0000010011101110101
3100202100000220112220012
41133000330002131311
53132414412241041
6114511244350005
710241115664631
oct1370074023565
9322300815805
10102021212021
113a2a3350663
1217932845305
13980b4a2aa1
144d1b67bdc1
1529c18dc3eb
hex17c0f02775

102021212021 has 2 divisors, whose sum is σ = 102021212022. Its totient is φ = 102021212020.

The previous prime is 102021212011. The next prime is 102021212077. The reversal of 102021212021 is 120212120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71334931396 + 30686280625 = 267086^2 + 175175^2 .

It is an emirp because it is prime and its reverse (120212120201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102021212021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102021211987 and 102021212005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102021212011) 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, 51010606010 + 51010606011.

It is an arithmetic number, because the mean of its divisors is an integer number (51010606011).

Almost surely, 2102021212021 is an apocalyptic number.

It is an amenable number.

102021212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021212021 is an equidigital number, since it uses as much as digits as its factorization.

102021212021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102021212021 its reverse (120212120201), we get a palindrome (222233332222).

The spelling of 102021212021 in words is "one hundred two billion, twenty-one million, two hundred twelve thousand, twenty-one".