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202022201221 is a prime number
BaseRepresentation
bin1011110000100101110…
…1100010011110000101
3201022110021102011001221
42330021131202132011
511302220140414341
6232450244520341
720411204243251
oct2741135423605
9638407364057
10202022201221
117874a2a1985
12331a09b00b1
131608726a849
149ac68b9261
1553c5c6eed1
hex2f09762785

202022201221 has 2 divisors, whose sum is σ = 202022201222. Its totient is φ = 202022201220.

The previous prime is 202022201219. The next prime is 202022201233. The reversal of 202022201221 is 122102220202.

202022201221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134039460996 + 67982740225 = 366114^2 + 260735^2 .

It is a cyclic number.

It is not a de Polignac number, because 202022201221 - 21 = 202022201219 is a prime.

Together with 202022201219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 202022201195 and 202022201204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202022201281) 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, 101011100610 + 101011100611.

It is an arithmetic number, because the mean of its divisors is an integer number (101011100611).

Almost surely, 2202022201221 is an apocalyptic number.

It is an amenable number.

202022201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

202022201221 is an equidigital number, since it uses as much as digits as its factorization.

202022201221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202022201221 its reverse (122102220202), we get a palindrome (324124421423).

The spelling of 202022201221 in words is "two hundred two billion, twenty-two million, two hundred one thousand, two hundred twenty-one".