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212221117021 is a prime number
BaseRepresentation
bin1100010110100101011…
…1010100001001011101
3202021210001110202101011
43011221113110021131
511434112101221041
6241254255015221
721222015505534
oct3055127241135
9667701422334
10212221117021
1182003319311
123516850a511
1317021222974
14a3b321b31b
1557c1320e81
hex31695d425d

212221117021 has 2 divisors, whose sum is σ = 212221117022. Its totient is φ = 212221117020.

The previous prime is 212221116971. The next prime is 212221117033. The reversal of 212221117021 is 120711122212.

212221117021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209956404100 + 2264712921 = 458210^2 + 47589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212221117021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212221116983 and 212221117001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212221117081) 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, 106110558510 + 106110558511.

It is an arithmetic number, because the mean of its divisors is an integer number (106110558511).

Almost surely, 2212221117021 is an apocalyptic number.

It is an amenable number.

212221117021 is a deficient number, since it is larger than the sum of its proper divisors (1).

212221117021 is an equidigital number, since it uses as much as digits as its factorization.

212221117021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 212221117021 its reverse (120711122212), we get a palindrome (332932239233).

The spelling of 212221117021 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred seventeen thousand, twenty-one".