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10101021017 is a prime number
BaseRepresentation
bin10010110100001000…
…10101100101011001
3222001221212000220112
421122010111211121
5131141330133032
64350151534105
7505212155603
oct113204254531
928057760815
1010101021017
11431384365a
121b5a98a335
13c4c8ca919
146bb73c173
153e1bb51b2
hex25a115959

10101021017 has 2 divisors, whose sum is σ = 10101021018. Its totient is φ = 10101021016.

The previous prime is 10101020987. The next prime is 10101021041. The reversal of 10101021017 is 71012010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8416411081 + 1684609936 = 91741^2 + 41044^2 .

It is an emirp because it is prime and its reverse (71012010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101021017 - 218 = 10100758873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101020992 and 10101021010.

It is not a weakly prime, because it can be changed into another prime (10101041017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050510508 + 5050510509.

It is an arithmetic number, because the mean of its divisors is an integer number (5050510509).

Almost surely, 210101021017 is an apocalyptic number.

It is an amenable number.

10101021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101021017 is an equidigital number, since it uses as much as digits as its factorization.

10101021017 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10101021017 its reverse (71012010101), we get a palindrome (81113031118).

The spelling of 10101021017 in words is "ten billion, one hundred one million, twenty-one thousand, seventeen".