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20211221120201 is a prime number
BaseRepresentation
bin1001001100001110010101…
…01001111100010011001001
32122120011200202021011021122
410212013022221330103021
510122120040101321301
6110552523511445025
74154132620642016
oct446071251742311
978504622234248
1020211221120201
1164925924649a1
1223250a1086775
13b37baa29aab7
144dc32a72c70d
15250b184c681b
hex1261caa7c4c9

20211221120201 has 2 divisors, whose sum is σ = 20211221120202. Its totient is φ = 20211221120200.

The previous prime is 20211221120191. The next prime is 20211221120203. The reversal of 20211221120201 is 10202112211202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18935900371600 + 1275320748601 = 4351540^2 + 1129301^2 .

It is a cyclic number.

It is not a de Polignac number, because 20211221120201 - 234 = 20194041251017 is a prime.

Together with 20211221120203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20211221120201.

It is not a weakly prime, because it can be changed into another prime (20211221120203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10105610560100 + 10105610560101.

It is an arithmetic number, because the mean of its divisors is an integer number (10105610560101).

Almost surely, 220211221120201 is an apocalyptic number.

It is an amenable number.

20211221120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20211221120201 is an equidigital number, since it uses as much as digits as its factorization.

20211221120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20211221120201 its reverse (10202112211202), we get a palindrome (30413333331403).

The spelling of 20211221120201 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, two hundred one".