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1021002110017 is a prime number
BaseRepresentation
bin11101101101110000111…
…01111101010001000001
310121121101101121011020121
432312320131331101001
5113212003020010032
62101013014340241
7133523245512331
oct16667035752101
93547341534217
101021002110017
1136400608a00a
12145a6365a681
137538446bb86
14375b98690c1
151b85a47da97
hexedb877d441

1021002110017 has 2 divisors, whose sum is σ = 1021002110018. Its totient is φ = 1021002110016.

The previous prime is 1021002109993. The next prime is 1021002110071. The reversal of 1021002110017 is 7100112001201.

Together with next prime (1021002110071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 986464117681 + 34537992336 = 993209^2 + 185844^2 .

It is an emirp because it is prime and its reverse (7100112001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1021002110017 - 219 = 1021001585729 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021002170017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510501055008 + 510501055009.

It is an arithmetic number, because the mean of its divisors is an integer number (510501055009).

Almost surely, 21021002110017 is an apocalyptic number.

It is an amenable number.

1021002110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021002110017 is an equidigital number, since it uses as much as digits as its factorization.

1021002110017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 1021002110017 its reverse (7100112001201), we get a palindrome (8121114111218).

The spelling of 1021002110017 in words is "one trillion, twenty-one billion, two million, one hundred ten thousand, seventeen".