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10212331332221 is a prime number
BaseRepresentation
bin1001010010011011111001…
…1000011010001001111101
31100011021210221002112000222
42110212332120122021331
52314304323310112341
633415251422231125
72102550043032224
oct224467630321175
940137727075028
1010212331332221
113288030890677
12118b2751254a5
1359103215a485
142743cac39cbb
1512a9a5c8544b
hex949be61a27d

10212331332221 has 2 divisors, whose sum is σ = 10212331332222. Its totient is φ = 10212331332220.

The previous prime is 10212331332179. The next prime is 10212331332223. The reversal of 10212331332221 is 12223313321201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10094123265625 + 118208066596 = 3177125^2 + 343814^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212331332221 - 26 = 10212331332157 is a prime.

It is a super-2 number, since 2×102123313322212 (a number of 27 digits) contains 22 as substring.

Together with 10212331332223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10212331332223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106165666110 + 5106165666111.

It is an arithmetic number, because the mean of its divisors is an integer number (5106165666111).

Almost surely, 210212331332221 is an apocalyptic number.

It is an amenable number.

10212331332221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212331332221 is an equidigital number, since it uses as much as digits as its factorization.

10212331332221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 10212331332221 its reverse (12223313321201), we get a palindrome (22435644653422).

The spelling of 10212331332221 in words is "ten trillion, two hundred twelve billion, three hundred thirty-one million, three hundred thirty-two thousand, two hundred twenty-one".