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12102110117 is a prime number
BaseRepresentation
bin10110100010101011…
…11000101110100101
31011020102020220002122
423101111320232211
5144241120010432
65320514115325
7605621144606
oct132125705645
934212226078
1012102110117
1151503644a9
122418b7bb45
1311ab366906
1482b3dbdad
154ac6e0612
hex2d1578ba5

12102110117 has 2 divisors, whose sum is σ = 12102110118. Its totient is φ = 12102110116.

The previous prime is 12102110099. The next prime is 12102110177. The reversal of 12102110117 is 71101120121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11785056481 + 317053636 = 108559^2 + 17806^2 .

It is an emirp because it is prime and its reverse (71101120121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12102110117 - 28 = 12102109861 is a prime.

It is a super-2 number, since 2×121021101172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102110095 and 12102110104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12102110177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051055058 + 6051055059.

It is an arithmetic number, because the mean of its divisors is an integer number (6051055059).

Almost surely, 212102110117 is an apocalyptic number.

It is an amenable number.

12102110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102110117 is an equidigital number, since it uses as much as digits as its factorization.

12102110117 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 17.

Adding to 12102110117 its reverse (71101120121), we get a palindrome (83203230238).

The spelling of 12102110117 in words is "twelve billion, one hundred two million, one hundred ten thousand, one hundred seventeen".