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21212110021 is a prime number
BaseRepresentation
bin10011110000010101…
…110001110011000101
32000202022022211121111
4103300111301303011
5321420300010041
613424505045021
71350440650234
oct236025616305
960668284544
1021212110021
118aa5757243
12413ba86771
13200084c1bb
141053288b1b
15842399981
hex4f0571cc5

21212110021 has 2 divisors, whose sum is σ = 21212110022. Its totient is φ = 21212110020.

The previous prime is 21212110013. The next prime is 21212110057. The reversal of 21212110021 is 12001121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21203436996 + 8673025 = 145614^2 + 2945^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212110021 - 23 = 21212110013 is a prime.

It is a super-3 number, since 3×212121100213 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21212109983 and 21212110010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21212110061) 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, 10606055010 + 10606055011.

It is an arithmetic number, because the mean of its divisors is an integer number (10606055011).

Almost surely, 221212110021 is an apocalyptic number.

It is an amenable number.

21212110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212110021 is an equidigital number, since it uses as much as digits as its factorization.

21212110021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21212110021 its reverse (12001121212), we get a palindrome (33213231233).

The spelling of 21212110021 in words is "twenty-one billion, two hundred twelve million, one hundred ten thousand, twenty-one".