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10010221021 is a prime number
BaseRepresentation
bin10010101001010011…
…11101100111011101
3221211121222220201201
421110221331213131
5131000104033041
64333145435501
7503030321563
oct112451754735
927747886651
1010010221021
114277566239
121b3449bb91
13c36b58808
146ad663a33
153d8c2b631
hex254a7d9dd

10010221021 has 2 divisors, whose sum is σ = 10010221022. Its totient is φ = 10010221020.

The previous prime is 10010221009. The next prime is 10010221049. The reversal of 10010221021 is 12012201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9634404025 + 375816996 = 98155^2 + 19386^2 .

It is an emirp because it is prime and its reverse (12012201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010221021 - 211 = 10010218973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010220989 and 10010221007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010221321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005110510 + 5005110511.

It is an arithmetic number, because the mean of its divisors is an integer number (5005110511).

Almost surely, 210010221021 is an apocalyptic number.

It is an amenable number.

10010221021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010221021 is an equidigital number, since it uses as much as digits as its factorization.

10010221021 is an evil number, because the sum of its binary digits is even.

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

Adding to 10010221021 its reverse (12012201001), we get a palindrome (22022422022).

The spelling of 10010221021 in words is "ten billion, ten million, two hundred twenty-one thousand, twenty-one".