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100020101221 is a prime number
BaseRepresentation
bin101110100100110101…
…0011010000001100101
3100120011120110120221101
41131021222122001211
53114320121214341
6113540521520101
710140406555435
oct1351152320145
9316146416841
10100020101221
1139466815487
1217474643031
13957ca29c61
144bab9b42c5
152905daa831
hex1749a9a065

100020101221 has 2 divisors, whose sum is σ = 100020101222. Its totient is φ = 100020101220.

The previous prime is 100020101191. The next prime is 100020101231. The reversal of 100020101221 is 122101020001.

It is an a-pointer prime, because the next prime (100020101231) can be obtained adding 100020101221 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99546560100 + 473541121 = 315510^2 + 21761^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020101221 - 25 = 100020101189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020101198 and 100020101207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100020101231) 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, 50010050610 + 50010050611.

It is an arithmetic number, because the mean of its divisors is an integer number (50010050611).

Almost surely, 2100020101221 is an apocalyptic number.

It is an amenable number.

100020101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020101221 is an equidigital number, since it uses as much as digits as its factorization.

100020101221 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 100020101221 its reverse (122101020001), we get a palindrome (222121121222).

The spelling of 100020101221 in words is "one hundred billion, twenty million, one hundred one thousand, two hundred twenty-one".