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22201010101 is a prime number
BaseRepresentation
bin10100101011010010…
…001000011110110101
32010022020010011111101
4110223102020132311
5330431424310401
614110552410101
71414106320654
oct245322103665
963266104441
1022201010101
119462989536
1243770a6931
13212a6a0c8a
14110874719b
1589e0d7101
hex52b4887b5

22201010101 has 2 divisors, whose sum is σ = 22201010102. Its totient is φ = 22201010100.

The previous prime is 22201010087. The next prime is 22201010179. The reversal of 22201010101 is 10101010222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21491853201 + 709156900 = 146601^2 + 26630^2 .

It is a cyclic number.

It is not a de Polignac number, because 22201010101 - 213 = 22201001909 is a prime.

22201010101 is a modest number, since divided by 1010101 gives 222 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22201010201) 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, 11100505050 + 11100505051.

It is an arithmetic number, because the mean of its divisors is an integer number (11100505051).

Almost surely, 222201010101 is an apocalyptic number.

It is an amenable number.

22201010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22201010101 is an equidigital number, since it uses as much as digits as its factorization.

22201010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22201010101 its reverse (10101010222), we get a palindrome (32302020323).

The spelling of 22201010101 in words is "twenty-two billion, two hundred one million, ten thousand, one hundred one".