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211022102310101 is a prime number
BaseRepresentation
bin101111111110110001101001…
…011100101010110011010101
31000200011111221010200102102122
4233332301221130222303111
5210124341231142410401
62024450114314145325
762306562262163045
oct5776615134526325
91020144833612378
10211022102310101
1161268a75467a45
121b8015b7122245
1390993b67a7024
143a1774a76d725
15195e280d3621b
hexbfec6972acd5

211022102310101 has 2 divisors, whose sum is σ = 211022102310102. Its totient is φ = 211022102310100.

The previous prime is 211022102310077. The next prime is 211022102310121. The reversal of 211022102310101 is 101013201220112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137532614404900 + 73489487905201 = 11727430^2 + 8572601^2 .

It is a cyclic number.

It is not a de Polignac number, because 211022102310101 - 26 = 211022102310037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211022102310101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211022102310121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105511051155050 + 105511051155051.

It is an arithmetic number, because the mean of its divisors is an integer number (105511051155051).

Almost surely, 2211022102310101 is an apocalyptic number.

It is an amenable number.

211022102310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211022102310101 is an equidigital number, since it uses as much as digits as its factorization.

211022102310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211022102310101 its reverse (101013201220112), we get a palindrome (312035303530213).

The spelling of 211022102310101 in words is "two hundred eleven trillion, twenty-two billion, one hundred two million, three hundred ten thousand, one hundred one".