Search a number
-
+
212102110001 is a prime number
BaseRepresentation
bin1100010110001001000…
…1010101101100110001
3202021110202112120102202
43011202101111230301
511433341120010001
6241234404152545
721216042121355
oct3054221255461
9667422476382
10212102110001
1181a52125601
1235134698755
1317002685a02
14a3a14bd465
1557b5b6496b
hex3162455b31

212102110001 has 2 divisors, whose sum is σ = 212102110002. Its totient is φ = 212102110000.

The previous prime is 212102109979. The next prime is 212102110097. The reversal of 212102110001 is 100011201212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181011957025 + 31090152976 = 425455^2 + 176324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212102110001 is a prime.

It is not a weakly prime, because it can be changed into another prime (212102110301) 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, 106051055000 + 106051055001.

It is an arithmetic number, because the mean of its divisors is an integer number (106051055001).

Almost surely, 2212102110001 is an apocalyptic number.

It is an amenable number.

212102110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102110001 is an equidigital number, since it uses as much as digits as its factorization.

212102110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 212102110001 its reverse (100011201212), we get a palindrome (312113311213).

The spelling of 212102110001 in words is "two hundred twelve billion, one hundred two million, one hundred ten thousand, one".