Search a number
-
+
21201200200097 is a prime number
BaseRepresentation
bin1001101001000010010100…
…00000011011100110100001
32210001211000002120002122122
410310201022000123212201
510234330024222400342
6113031410311114025
74315510335165401
oct464411200334641
983054002502578
1021201200200097
116834418887235
122464b27072915
13baa359432cc8
14534201d28801
1526b75a0eb4d2
hex13484a01b9a1

21201200200097 has 2 divisors, whose sum is σ = 21201200200098. Its totient is φ = 21201200200096.

The previous prime is 21201200200091. The next prime is 21201200200123. The reversal of 21201200200097 is 79000200210212.

It is an a-pointer prime, because the next prime (21201200200123) can be obtained adding 21201200200097 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21178256736256 + 22943463841 = 4601984^2 + 151471^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201200200097 - 210 = 21201200199073 is a prime.

It is not a weakly prime, because it can be changed into another prime (21201200200091) 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, 10600600100048 + 10600600100049.

It is an arithmetic number, because the mean of its divisors is an integer number (10600600100049).

Almost surely, 221201200200097 is an apocalyptic number.

It is an amenable number.

21201200200097 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201200200097 is an equidigital number, since it uses as much as digits as its factorization.

21201200200097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 21201200200097 in words is "twenty-one trillion, two hundred one billion, two hundred million, two hundred thousand, ninety-seven".