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101802210221 is a prime number
BaseRepresentation
bin101111011001111100…
…0100111001110101101
3100201202202211002220102
41132303320213032231
53131442331211341
6114433422400445
710232516336465
oct1366370471655
9321682732812
10101802210221
113a1a076a338
1217891430125
1397a4cc481a
144cda550ba5
1529ac57cc9b
hex17b3e273ad

101802210221 has 2 divisors, whose sum is σ = 101802210222. Its totient is φ = 101802210220.

The previous prime is 101802210203. The next prime is 101802210233. The reversal of 101802210221 is 122012208101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96518955625 + 5283254596 = 310675^2 + 72686^2 .

It is a cyclic number.

It is not a de Polignac number, because 101802210221 - 26 = 101802210157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101802210193 and 101802210202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101802210721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50901105110 + 50901105111.

It is an arithmetic number, because the mean of its divisors is an integer number (50901105111).

Almost surely, 2101802210221 is an apocalyptic number.

It is an amenable number.

101802210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101802210221 is an equidigital number, since it uses as much as digits as its factorization.

101802210221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101802210221 its reverse (122012208101), we get a palindrome (223814418322).

The spelling of 101802210221 in words is "one hundred one billion, eight hundred two million, two hundred ten thousand, two hundred twenty-one".