Search a number
-
+
12110220121081 is a prime number
BaseRepresentation
bin1011000000111010000101…
…0111100101001111111001
31120212201121001200101112011
42300032201113211033321
53041403212322333311
641431205221445521
72356635354412255
oct260164127451771
946781531611464
1012110220121081
113949a08600165
1214370602708a1
1369acb169a344
142dc1d0101265
151600344e9321
hexb03a15e53f9

12110220121081 has 2 divisors, whose sum is σ = 12110220121082. Its totient is φ = 12110220121080.

The previous prime is 12110220121079. The next prime is 12110220121121. The reversal of 12110220121081 is 18012102201121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9729938911225 + 2380281209856 = 3119285^2 + 1542816^2 .

It is a cyclic number.

It is not a de Polignac number, because 12110220121081 - 21 = 12110220121079 is a prime.

It is a super-2 number, since 2×121102201210812 (a number of 27 digits) contains 22 as substring.

Together with 12110220121079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12110220121481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055110060540 + 6055110060541.

It is an arithmetic number, because the mean of its divisors is an integer number (6055110060541).

Almost surely, 212110220121081 is an apocalyptic number.

It is an amenable number.

12110220121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12110220121081 is an equidigital number, since it uses as much as digits as its factorization.

12110220121081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 22.

The spelling of 12110220121081 in words is "twelve trillion, one hundred ten billion, two hundred twenty million, one hundred twenty-one thousand, eighty-one".