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22012110121129 is a prime number
BaseRepresentation
bin1010000000101000110000…
…00000010010100010101001
32212221100002210122020202121
411000110120000102202221
510341121300142334004
6114452120201031241
74431215415611362
oct500243000224251
985840083566677
1022012110121129
117017313344097
122576117185521
13c3896b75814b
1456156b1d2b69
152828bb0d7854
hex1405180128a9

22012110121129 has 2 divisors, whose sum is σ = 22012110121130. Its totient is φ = 22012110121128.

The previous prime is 22012110121097. The next prime is 22012110121153. The reversal of 22012110121129 is 92112101121022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21111038355625 + 901071765504 = 4594675^2 + 949248^2 .

It is a cyclic number.

It is not a de Polignac number, because 22012110121129 - 25 = 22012110121097 is a prime.

It is not a weakly prime, because it can be changed into another prime (22012110124129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11006055060564 + 11006055060565.

It is an arithmetic number, because the mean of its divisors is an integer number (11006055060565).

Almost surely, 222012110121129 is an apocalyptic number.

It is an amenable number.

22012110121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

22012110121129 is an equidigital number, since it uses as much as digits as its factorization.

22012110121129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 22012110121129 in words is "twenty-two trillion, twelve billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-nine".