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2222221202101 is a prime number
BaseRepresentation
bin100000010101100110101…
…101001001001010110101
321212102221102020120011201
4200111212231021022311
5242402102111431401
64420512504332501
7316356466361605
oct40254655111265
97772842216151
102222221202101
11787490a3201a
122ba821474131
131317294a4134
14797adc52c05
153cc121c6b01
hex20566b492b5

2222221202101 has 2 divisors, whose sum is σ = 2222221202102. Its totient is φ = 2222221202100.

The previous prime is 2222221202023. The next prime is 2222221202111. The reversal of 2222221202101 is 1012021222222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1952028122500 + 270193079601 = 1397150^2 + 519801^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222221202101 - 29 = 2222221201589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222221202111) 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, 1111110601050 + 1111110601051.

It is an arithmetic number, because the mean of its divisors is an integer number (1111110601051).

Almost surely, 22222221202101 is an apocalyptic number.

It is an amenable number.

2222221202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222221202101 is an equidigital number, since it uses as much as digits as its factorization.

2222221202101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2222221202101 its reverse (1012021222222), we get a palindrome (3234242424323).

The spelling of 2222221202101 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, one hundred one".