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201220221121 is a prime number
BaseRepresentation
bin1011101101100110101…
…0001110100011000001
3201020101101100100012021
42323121222032203001
511244044334033441
6232234515401441
720352265441663
oct2733152164301
9636341310167
10201220221121
1178378629407
1232bb82b3281
1315c8a0735ca
149a4c196533
15537a6563d1
hex2ed9a8e8c1

201220221121 has 2 divisors, whose sum is σ = 201220221122. Its totient is φ = 201220221120.

The previous prime is 201220221109. The next prime is 201220221131. The reversal of 201220221121 is 121122022102.

It is a happy number.

201220221121 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., 157398660225 + 43821560896 = 396735^2 + 209336^2 .

It is a cyclic number.

It is not a de Polignac number, because 201220221121 - 211 = 201220219073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201220221095 and 201220221104.

It is not a weakly prime, because it can be changed into another prime (201220221131) 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, 100610110560 + 100610110561.

It is an arithmetic number, because the mean of its divisors is an integer number (100610110561).

Almost surely, 2201220221121 is an apocalyptic number.

It is an amenable number.

201220221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

201220221121 is an equidigital number, since it uses as much as digits as its factorization.

201220221121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201220221121 its reverse (121122022102), we get a palindrome (322342243223).

The spelling of 201220221121 in words is "two hundred one billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty-one".