Search a number
-
+
201121221212201 is a prime number
BaseRepresentation
bin101101101110101100101110…
…111100100111100000101001
3222101010000000201011002202102
4231232230232330213200221
5202330132230112242301
61551425451415143145
760235346231342423
oct5556545674474051
9871100021132672
10201121221212201
11590a1038178144
121a682782074ab5
13882b85a752344
143794467665813
15183b957ad6b6b
hexb6eb2ef27829

201121221212201 has 2 divisors, whose sum is σ = 201121221212202. Its totient is φ = 201121221212200.

The previous prime is 201121221212189. The next prime is 201121221212209. The reversal of 201121221212201 is 102212122121102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199665943302400 + 1455277909801 = 14130320^2 + 1206349^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201121221212201 is a prime.

It is not a weakly prime, because it can be changed into another prime (201121221212209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560610606100 + 100560610606101.

It is an arithmetic number, because the mean of its divisors is an integer number (100560610606101).

Almost surely, 2201121221212201 is an apocalyptic number.

It is an amenable number.

201121221212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121221212201 is an equidigital number, since it uses as much as digits as its factorization.

201121221212201 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 20.

Adding to 201121221212201 its reverse (102212122121102), we get a palindrome (303333343333303).

The spelling of 201121221212201 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred one".