Search a number
-
+
12101120222201 is a prime number
BaseRepresentation
bin1011000000011000001011…
…1110001110001111111001
31120211212002212121122000022
42300012002332032033321
53041231043234102301
641423102231220225
72356164016506653
oct260060276161771
946755085548008
1012101120222201
11394606898747a
121435340817675
1369a1913105aa
142db9a97236d3
1515eba0687d1b
hexb0182f8e3f9

12101120222201 has 2 divisors, whose sum is σ = 12101120222202. Its totient is φ = 12101120222200.

The previous prime is 12101120222167. The next prime is 12101120222209. The reversal of 12101120222201 is 10222202110121.

12101120222201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6296706936976 + 5804413285225 = 2509324^2 + 2409235^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101120222201 - 230 = 12100046480377 is a prime.

It is a super-2 number, since 2×121011202222012 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12101120222201.

It is not a weakly prime, because it can be changed into another prime (12101120222209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050560111100 + 6050560111101.

It is an arithmetic number, because the mean of its divisors is an integer number (6050560111101).

Almost surely, 212101120222201 is an apocalyptic number.

It is an amenable number.

12101120222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101120222201 is an equidigital number, since it uses as much as digits as its factorization.

12101120222201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12101120222201 its reverse (10222202110121), we get a palindrome (22323322332322).

The spelling of 12101120222201 in words is "twelve trillion, one hundred one billion, one hundred twenty million, two hundred twenty-two thousand, two hundred one".