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2202102122021 is a prime number
BaseRepresentation
bin100000000010110111100…
…000111100011000100101
321210112000021122101202122
4200002313200330120211
5242034401120401041
64403344242515325
7315045100124504
oct40026740743045
97715007571678
102202102122021
117799a726a40a
122b6947665b45
1312c871235219
1478821c1083b
153c435c87c4b
hex200b783c625

2202102122021 has 2 divisors, whose sum is σ = 2202102122022. Its totient is φ = 2202102122020.

The previous prime is 2202102121943. The next prime is 2202102122027. The reversal of 2202102122021 is 1202212012022.

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., 1972072533025 + 230029588996 = 1404305^2 + 479614^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202102122021 - 230 = 2201028380197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202102122027) 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, 1101051061010 + 1101051061011.

It is an arithmetic number, because the mean of its divisors is an integer number (1101051061011).

Almost surely, 22202102122021 is an apocalyptic number.

It is an amenable number.

2202102122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202102122021 is an equidigital number, since it uses as much as digits as its factorization.

2202102122021 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 2202102122021 its reverse (1202212012022), we get a palindrome (3404314134043).

The spelling of 2202102122021 in words is "two trillion, two hundred two billion, one hundred two million, one hundred twenty-two thousand, twenty-one".