Search a number
-
+
2202201020101 is a prime number
BaseRepresentation
bin100000000010111101011…
…010001101011011000101
321210112021011201221102111
4200002331122031123011
5242040101430120401
64403402134341021
7315050410550215
oct40027532153305
97715234657374
102202201020101
11779a48078a65
122b69747ba771
1312c8888812b4
1478830dd6245
153c43e7c0e51
hex200bd68d6c5

2202201020101 has 2 divisors, whose sum is σ = 2202201020102. Its totient is φ = 2202201020100.

The previous prime is 2202201020099. The next prime is 2202201020147. The reversal of 2202201020101 is 1010201022022.

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., 2130575203201 + 71625816900 = 1459649^2 + 267630^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202201020101 - 21 = 2202201020099 is a prime.

Together with 2202201020099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202201020161) 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, 1101100510050 + 1101100510051.

It is an arithmetic number, because the mean of its divisors is an integer number (1101100510051).

Almost surely, 22202201020101 is an apocalyptic number.

It is an amenable number.

2202201020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202201020101 is an equidigital number, since it uses as much as digits as its factorization.

2202201020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2202201020101 its reverse (1010201022022), we get a palindrome (3212402042123).

The spelling of 2202201020101 in words is "two trillion, two hundred two billion, two hundred one million, twenty thousand, one hundred one".