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10020101112221 is a prime number
BaseRepresentation
bin1001000111001111110010…
…0100010100000110011101
31022110220122002000112222012
42101303330210110012131
52303132131341042341
633151100525401005
72052633306105104
oct221637444240635
938426562015865
1010020101112221
113213556944162
121159b67709165
13578b78775c75
14268d92a1503b
151259a49d30eb
hex91cfc91419d

10020101112221 has 2 divisors, whose sum is σ = 10020101112222. Its totient is φ = 10020101112220.

The previous prime is 10020101112187. The next prime is 10020101112283. The reversal of 10020101112221 is 12221110102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7033045656121 + 2987055456100 = 2651989^2 + 1728310^2 .

It is an emirp because it is prime and its reverse (12221110102001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10020101112221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020101112196 and 10020101112205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020101142221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010050556110 + 5010050556111.

It is an arithmetic number, because the mean of its divisors is an integer number (5010050556111).

Almost surely, 210020101112221 is an apocalyptic number.

It is an amenable number.

10020101112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020101112221 is an equidigital number, since it uses as much as digits as its factorization.

10020101112221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10020101112221 its reverse (12221110102001), we get a palindrome (22241211214222).

The spelling of 10020101112221 in words is "ten trillion, twenty billion, one hundred one million, one hundred twelve thousand, two hundred twenty-one".