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10021212101 is a prime number
BaseRepresentation
bin10010101010100111…
…11000111111000101
3221212101200022122202
421111103320333011
5131010412241401
64334221204245
7503222616545
oct112523707705
927771608582
1010021212101
114282792a7a
121b38100685
13c39206504
146b0cc5325
153d9b9d06b
hex2554f8fc5

10021212101 has 2 divisors, whose sum is σ = 10021212102. Its totient is φ = 10021212100.

The previous prime is 10021212083. The next prime is 10021212119. The reversal of 10021212101 is 10121212001.

It is a balanced prime because it is at equal distance from previous prime (10021212083) and next prime (10021212119).

It can be written as a sum of positive squares in only one way, i.e., 8399539201 + 1621672900 = 91649^2 + 40270^2 .

It is an emirp because it is prime and its reverse (10121212001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10021212101 - 210 = 10021211077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021212151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010606050 + 5010606051.

It is an arithmetic number, because the mean of its divisors is an integer number (5010606051).

Almost surely, 210021212101 is an apocalyptic number.

It is an amenable number.

10021212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021212101 is an equidigital number, since it uses as much as digits as its factorization.

10021212101 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 11.

Adding to 10021212101 its reverse (10121212001), we get a palindrome (20142424102).

The spelling of 10021212101 in words is "ten billion, twenty-one million, two hundred twelve thousand, one hundred one".