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101003300221 is a prime number
BaseRepresentation
bin101111000010001000…
…1000000110101111101
3100122201002112021102011
41132010101000311331
53123323321101341
6114222243131221
710203645613015
oct1360421006575
9318632467364
10101003300221
113992080343a
12176a9973b11
1396a8633b05
144c623cac45
15296236db81
hex1784440d7d

101003300221 has 2 divisors, whose sum is σ = 101003300222. Its totient is φ = 101003300220.

The previous prime is 101003300219. The next prime is 101003300261. The reversal of 101003300221 is 122003300101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67519424025 + 33483876196 = 259845^2 + 182986^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003300221 - 21 = 101003300219 is a prime.

Together with 101003300219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101003300261) 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, 50501650110 + 50501650111.

It is an arithmetic number, because the mean of its divisors is an integer number (50501650111).

Almost surely, 2101003300221 is an apocalyptic number.

It is an amenable number.

101003300221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003300221 is an equidigital number, since it uses as much as digits as its factorization.

101003300221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101003300221 its reverse (122003300101), we get a palindrome (223006600322).

The spelling of 101003300221 in words is "one hundred one billion, three million, three hundred thousand, two hundred twenty-one".