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221021012021 is a prime number
BaseRepresentation
bin1100110111010111100…
…0010000000000110101
3210010111100000201221012
43031311320100000311
512110122334341041
6245311411202005
721653051414225
oct3156570200065
9703440021835
10221021012021
1185809665707
1236a035a6305
1317ac43acc24
14a9a9c24085
155b38b723eb
hex3375e10035

221021012021 has 2 divisors, whose sum is σ = 221021012022. Its totient is φ = 221021012020.

The previous prime is 221021011999. The next prime is 221021012041. The reversal of 221021012021 is 120210120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200000361796 + 21020650225 = 447214^2 + 144985^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021012021 - 26 = 221021011957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221021011987 and 221021012005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221021012041) 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, 110510506010 + 110510506011.

It is an arithmetic number, because the mean of its divisors is an integer number (110510506011).

Almost surely, 2221021012021 is an apocalyptic number.

It is an amenable number.

221021012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021012021 is an equidigital number, since it uses as much as digits as its factorization.

221021012021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221021012021 its reverse (120210120122), we get a palindrome (341231132143).

The spelling of 221021012021 in words is "two hundred twenty-one billion, twenty-one million, twelve thousand, twenty-one".