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12102111013 is a prime number
BaseRepresentation
bin10110100010101011…
…11000111100100101
31011020102020221022211
423101111320330211
5144241120023023
65320514123421
7605621150326
oct132125707445
934212227284
1012102111013
115150365143
122418b80571
1311ab367145
1482b3dc44d
154ac6e0a0d
hex2d1578f25

12102111013 has 2 divisors, whose sum is σ = 12102111014. Its totient is φ = 12102111012.

The previous prime is 12102110927. The next prime is 12102111023. The reversal of 12102111013 is 31011120121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11833741089 + 268369924 = 108783^2 + 16382^2 .

It is an emirp because it is prime and its reverse (31011120121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12102111013 - 229 = 11565240101 is a prime.

It is a super-2 number, since 2×121021110132 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102110984 and 12102111002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12102111023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051055506 + 6051055507.

It is an arithmetic number, because the mean of its divisors is an integer number (6051055507).

Almost surely, 212102111013 is an apocalyptic number.

It is an amenable number.

12102111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102111013 is an equidigital number, since it uses as much as digits as its factorization.

12102111013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12102111013 its reverse (31011120121), we get a palindrome (43113231134).

It can be divided in two parts, 12 and 102111013, that added together give a square (102111025 = 101052).

The spelling of 12102111013 in words is "twelve billion, one hundred two million, one hundred eleven thousand, thirteen".