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10202202202121 is a prime number
BaseRepresentation
bin1001010001110110001010…
…1000110110000000001001
31100010022200000100101201022
42110131202220312000021
52314123102230431441
633410454344002225
72102041036611536
oct224354250660011
940108600311638
1010202202202121
113283803199276
121189308a60375
135900a979a477
14273b098a1d8d
1512a5b18bb84b
hex94762a36009

10202202202121 has 2 divisors, whose sum is σ = 10202202202122. Its totient is φ = 10202202202120.

The previous prime is 10202202202021. The next prime is 10202202202139. The reversal of 10202202202121 is 12120220220201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10201763760400 + 438441721 = 3194020^2 + 20939^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10202202202121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10202202202121.

It is not a weakly prime, because it can be changed into another prime (10202202202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101101101060 + 5101101101061.

It is an arithmetic number, because the mean of its divisors is an integer number (5101101101061).

Almost surely, 210202202202121 is an apocalyptic number.

It is an amenable number.

10202202202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202202202121 is an equidigital number, since it uses as much as digits as its factorization.

10202202202121 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 17.

Adding to 10202202202121 its reverse (12120220220201), we get a palindrome (22322422422322).

The spelling of 10202202202121 in words is "ten trillion, two hundred two billion, two hundred two million, two hundred two thousand, one hundred twenty-one".