Search a number
-
+
2201021011121 is a prime number
BaseRepresentation
bin100000000001110111000…
…100110101010010110001
321210102012221100021102012
4200001313010311102301
5242030142334323441
64403045102532305
7315006231622622
oct40016704652261
97712187307365
102201021011121
117794a1a86829
122b66a5597095
1312c72b26912a
147875c3cba49
153c3c0dd39eb
hex200771354b1

2201021011121 has 2 divisors, whose sum is σ = 2201021011122. Its totient is φ = 2201021011120.

The previous prime is 2201021011099. The next prime is 2201021011297. The reversal of 2201021011121 is 1211101201022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2162473186225 + 38547824896 = 1470535^2 + 196336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2201021011121 is a prime.

It is a super-2 number, since 2×22010210111212 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2201021011096 and 2201021011105.

It is not a weakly prime, because it can be changed into another prime (2201021011421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100510505560 + 1100510505561.

It is an arithmetic number, because the mean of its divisors is an integer number (1100510505561).

Almost surely, 22201021011121 is an apocalyptic number.

It is an amenable number.

2201021011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201021011121 is an equidigital number, since it uses as much as digits as its factorization.

2201021011121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2201021011121 its reverse (1211101201022), we get a palindrome (3412122212143).

The spelling of 2201021011121 in words is "two trillion, two hundred one billion, twenty-one million, eleven thousand, one hundred twenty-one".