Search a number
-
+
10021202201 is a prime number
BaseRepresentation
bin10010101010100111…
…10110100100011001
3221212101122211002002
421111103312210121
5131010411432301
64334221050345
7503222545643
oct112523664431
927771584062
1010021202201
11428278659a
121b380b69b5
13c39201b5a
146b0cc1893
153d9b9a16b
hex2554f6919

10021202201 has 2 divisors, whose sum is σ = 10021202202. Its totient is φ = 10021202200.

The previous prime is 10021202161. The next prime is 10021202221. The reversal of 10021202201 is 10220212001.

It is a happy number.

10021202201 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., 10019809801 + 1392400 = 100099^2 + 1180^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021202201 - 226 = 9954093337 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021202221) 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, 5010601100 + 5010601101.

It is an arithmetic number, because the mean of its divisors is an integer number (5010601101).

Almost surely, 210021202201 is an apocalyptic number.

It is an amenable number.

10021202201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021202201 is an equidigital number, since it uses as much as digits as its factorization.

10021202201 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 11.

Adding to 10021202201 its reverse (10220212001), we get a palindrome (20241414202).

The spelling of 10021202201 in words is "ten billion, twenty-one million, two hundred two thousand, two hundred one".