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22100220221 is a prime number
BaseRepresentation
bin10100100101010001…
…101001100100111101
32010001012110111202212
4110211101221210331
5330230124021341
614052552230205
71411443525632
oct244521514475
963035414685
1022100220221
119410aa8612
12434939b365
132112841ab1
1410d91cc189
158953285eb
hex52546993d

22100220221 has 2 divisors, whose sum is σ = 22100220222. Its totient is φ = 22100220220.

The previous prime is 22100220113. The next prime is 22100220257. The reversal of 22100220221 is 12202200122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21899856196 + 200364025 = 147986^2 + 14155^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100220221 - 218 = 22099958077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22100220196 and 22100220205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100720221) 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, 11050110110 + 11050110111.

It is an arithmetic number, because the mean of its divisors is an integer number (11050110111).

Almost surely, 222100220221 is an apocalyptic number.

It is an amenable number.

22100220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100220221 is an equidigital number, since it uses as much as digits as its factorization.

22100220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22100220221 its reverse (12202200122), we get a palindrome (34302420343).

The spelling of 22100220221 in words is "twenty-two billion, one hundred million, two hundred twenty thousand, two hundred twenty-one".