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202122010117 is a prime number
BaseRepresentation
bin1011110000111101101…
…0010001111000000101
3201022201020012222010201
42330033122101320011
511302421213310432
6232504212050501
720413525511266
oct2741732217005
9638636188121
10202122010117
11787a0672875
123320a303a31
13160a1b45371
149ad5c5a96d
1553ce8d7ee7
hex2f0f691e05

202122010117 has 2 divisors, whose sum is σ = 202122010118. Its totient is φ = 202122010116.

The previous prime is 202122010087. The next prime is 202122010177. The reversal of 202122010117 is 711010221202.

202122010117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129307844836 + 72814165281 = 359594^2 + 269841^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122010117 - 211 = 202122008069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202122010094 and 202122010103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202122010177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061005058 + 101061005059.

It is an arithmetic number, because the mean of its divisors is an integer number (101061005059).

Almost surely, 2202122010117 is an apocalyptic number.

It is an amenable number.

202122010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122010117 is an equidigital number, since it uses as much as digits as its factorization.

202122010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 202122010117 its reverse (711010221202), we get a palindrome (913132231319).

The spelling of 202122010117 in words is "two hundred two billion, one hundred twenty-two million, ten thousand, one hundred seventeen".