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10020000121 is a prime number
BaseRepresentation
bin10010101010011110…
…10001000101111001
3221212022101202010121
421111033101011321
5131010110000441
64334135213241
7503206411225
oct112517210571
927768352117
1010020000121
11428203543a
121b37817221
13c38ba0971
146b0a8b785
153d9a0ddd1
hex2553d1179

10020000121 has 2 divisors, whose sum is σ = 10020000122. Its totient is φ = 10020000120.

The previous prime is 10020000091. The next prime is 10020000131. The reversal of 10020000121 is 12100002001.

10020000121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8519290000 + 1500710121 = 92300^2 + 38739^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020000121 - 219 = 10019475833 is a prime.

It is a super-3 number, since 3×100200001213 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10020000131) 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, 5010000060 + 5010000061.

It is an arithmetic number, because the mean of its divisors is an integer number (5010000061).

Almost surely, 210020000121 is an apocalyptic number.

It is an amenable number.

10020000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020000121 is an equidigital number, since it uses as much as digits as its factorization.

10020000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10020000121 its reverse (12100002001), we get a palindrome (22120002122).

The spelling of 10020000121 in words is "ten billion, twenty million, one hundred twenty-one", and thus it is an aban number.