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221020222220201 is a prime number
BaseRepresentation
bin110010010000010001000111…
…110101010110011110101001
31001222120022211022012012202202
4302100101013311112132221
5212432143403342021301
62102023142142305545
764361120101203605
oct6220210765263651
91058508738165682
10221020222220201
1164473171504658
12209572492882b5
13964316b280201
143c81615cd8505
151a8439aba066b
hexc90447d567a9

221020222220201 has 2 divisors, whose sum is σ = 221020222220202. Its totient is φ = 221020222220200.

The previous prime is 221020222220191. The next prime is 221020222220233. The reversal of 221020222220201 is 102022222020122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120128724105625 + 100891498114576 = 10960325^2 + 10044476^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221020222220201 is a prime.

It is not a weakly prime, because it can be changed into another prime (221020222220101) 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, 110510111110100 + 110510111110101.

It is an arithmetic number, because the mean of its divisors is an integer number (110510111110101).

Almost surely, 2221020222220201 is an apocalyptic number.

It is an amenable number.

221020222220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020222220201 is an equidigital number, since it uses as much as digits as its factorization.

221020222220201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 221020222220201 its reverse (102022222020122), we get a palindrome (323042444240323).

It can be divided in two parts, 22 and 1020222220201, that multiplied together give a palindrome (22444888844422).

The spelling of 221020222220201 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-two million, two hundred twenty thousand, two hundred one".