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2222122200121 is a prime number
BaseRepresentation
bin100000010101100000110…
…011011110110000111001
321212102200111221201222201
4200111200303132300321
5242401401240400441
64420455010350201
7316354155024235
oct40254063366071
97772614851881
102222122200121
117874400623aa
122ba7b428b361
13131711b1c995
14797a0a415c5
153cc0866cc31
hex20560cdec39

2222122200121 has 2 divisors, whose sum is σ = 2222122200122. Its totient is φ = 2222122200120.

The previous prime is 2222122200073. The next prime is 2222122200131. The reversal of 2222122200121 is 1210022212222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2130198630400 + 91923569721 = 1459520^2 + 303189^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222122200121 - 213 = 2222122191929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2222122200131) 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, 1111061100060 + 1111061100061.

It is an arithmetic number, because the mean of its divisors is an integer number (1111061100061).

Almost surely, 22222122200121 is an apocalyptic number.

It is an amenable number.

2222122200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222122200121 is an equidigital number, since it uses as much as digits as its factorization.

2222122200121 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 2222122200121 its reverse (1210022212222), we get a palindrome (3432144412343).

The spelling of 2222122200121 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-one".