Search a number
-
+
210101202101009 is a prime number
BaseRepresentation
bin101111110001010111111111…
…100001001010001100010001
31000112220110221000110201020002
4233301113333201022030101
5210014244230214213014
62022503054302455345
762153211435436232
oct5761277741121421
91015813830421202
10210101202101009
1160a4346829377a
121b69302b594555
1390305c5ca56bb
1439c4d496cd089
151945333a1edde
hexbf15ff84a311

210101202101009 has 2 divisors, whose sum is σ = 210101202101010. Its totient is φ = 210101202101008.

The previous prime is 210101202101003. The next prime is 210101202101017. The reversal of 210101202101009 is 900101202101012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202719846672784 + 7381355428225 = 14237972^2 + 2716865^2 .

It is a cyclic number.

It is not a de Polignac number, because 210101202101009 - 244 = 192509016056593 is a prime.

It is not a weakly prime, because it can be changed into another prime (210101202101003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050601050504 + 105050601050505.

It is an arithmetic number, because the mean of its divisors is an integer number (105050601050505).

Almost surely, 2210101202101009 is an apocalyptic number.

It is an amenable number.

210101202101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

210101202101009 is an equidigital number, since it uses as much as digits as its factorization.

210101202101009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 210101202101009 in words is "two hundred ten trillion, one hundred one billion, two hundred two million, one hundred one thousand, nine".