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2122200202081 is a prime number
BaseRepresentation
bin11110111000011100111…
…111010011101101100001
321111212202210002022022111
4132320130333103231201
5234232231222431311
64302531511235321
7306216046040551
oct36703477235541
97455683068274
102122200202081
11749024763333
122a3368678b41
1312517952105b
1474a020c7161
153a30b1ded21
hex1ee1cfd3b61

2122200202081 has 2 divisors, whose sum is σ = 2122200202082. Its totient is φ = 2122200202080.

The previous prime is 2122200202049. The next prime is 2122200202121. The reversal of 2122200202081 is 1802020022212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1441401941056 + 680798261025 = 1200584^2 + 825105^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122200202081 - 25 = 2122200202049 is a prime.

It is a super-3 number, since 3×21222002020813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2122200202021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061100101040 + 1061100101041.

It is an arithmetic number, because the mean of its divisors is an integer number (1061100101041).

Almost surely, 22122200202081 is an apocalyptic number.

It is an amenable number.

2122200202081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122200202081 is an equidigital number, since it uses as much as digits as its factorization.

2122200202081 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 22.

Adding to 2122200202081 its reverse (1802020022212), we get a palindrome (3924220224293).

The spelling of 2122200202081 in words is "two trillion, one hundred twenty-two billion, two hundred million, two hundred two thousand, eighty-one".