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2201022222121 is a prime number
BaseRepresentation
bin100000000001110111001…
…001011100111100101001
321210102020000121210121001
4200001313021130330221
5242030143142101441
64403045144515001
7315006245125342
oct40016711347451
97712200553531
102201022222121
117794a2733658
122b66a5a7ba61
1312c72b5a13b8
147875c6250c9
153c3c1072731
hex2007725cf29

2201022222121 has 2 divisors, whose sum is σ = 2201022222122. Its totient is φ = 2201022222120.

The previous prime is 2201022222109. The next prime is 2201022222137. The reversal of 2201022222121 is 1212222201022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1221387466896 + 979634755225 = 1105164^2 + 989765^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201022222121 - 29 = 2201022221609 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201022222101) 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, 1100511111060 + 1100511111061.

It is an arithmetic number, because the mean of its divisors is an integer number (1100511111061).

Almost surely, 22201022222121 is an apocalyptic number.

It is an amenable number.

2201022222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201022222121 is an equidigital number, since it uses as much as digits as its factorization.

2201022222121 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 2201022222121 its reverse (1212222201022), we get a palindrome (3413244423143).

The spelling of 2201022222121 in words is "two trillion, two hundred one billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-one".