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12102011102011 is a prime number
BaseRepresentation
bin1011000000011011100000…
…0100101010001100111011
31120211221101221222000100211
42300012320010222030323
53041234404320231021
641423330454011551
72356225055042125
oct260067004521473
946757357860324
1012102011102011
11394648584a686
12143554b046bb7
1369a2a3a629cc
142dba51b88215
1515ec039b23e1
hexb01b812a33b

12102011102011 has 2 divisors, whose sum is σ = 12102011102012. Its totient is φ = 12102011102010.

The previous prime is 12102011102009. The next prime is 12102011102029. The reversal of 12102011102011 is 11020111020121.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12102011102011 - 21 = 12102011102009 is a prime.

It is a super-3 number, since 3×121020111020113 (a number of 40 digits) contains 333 as substring.

Together with 12102011102009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12102011101982 and 12102011102000.

It is not a weakly prime, because it can be changed into another prime (12102011102081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051005551005 + 6051005551006.

It is an arithmetic number, because the mean of its divisors is an integer number (6051005551006).

Almost surely, 212102011102011 is an apocalyptic number.

12102011102011 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102011102011 is an equidigital number, since it uses as much as digits as its factorization.

12102011102011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12102011102011 its reverse (11020111020121), we get a palindrome (23122122122132).

It can be divided in two parts, 1 and 2102011102011, that added together give a palindrome (2102011102012).

The spelling of 12102011102011 in words is "twelve trillion, one hundred two billion, eleven million, one hundred two thousand, eleven".