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212222011000001 is a prime number
BaseRepresentation
bin110000010000001111001001…
…100101000100010011000001
31000211102020002211120111111112
4300100033021211010103001
5210304021134304000001
62031205240153453105
762462351161565642
oct6020171145042301
91024366084514445
10212222011000001
1161690938658442
121b97606a111195
1391555b01a1692
143a59858ac96c9
1519805ac9d6cbb
hexc103c99444c1

212222011000001 has 2 divisors, whose sum is σ = 212222011000002. Its totient is φ = 212222011000000.

The previous prime is 212222010999991. The next prime is 212222011000033. The reversal of 212222011000001 is 100000110222212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133741476562225 + 78480534437776 = 11564665^2 + 8858924^2 .

It is a cyclic number.

It is not a de Polignac number, because 212222011000001 - 214 = 212222010983617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212222011000001.

It is not a weakly prime, because it can be changed into another prime (212222011000091) 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, 106111005500000 + 106111005500001.

It is an arithmetic number, because the mean of its divisors is an integer number (106111005500001).

Almost surely, 2212222011000001 is an apocalyptic number.

It is an amenable number.

212222011000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212222011000001 is an equidigital number, since it uses as much as digits as its factorization.

212222011000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212222011000001 its reverse (100000110222212), we get a palindrome (312222121222213).

The spelling of 212222011000001 in words is "two hundred twelve trillion, two hundred twenty-two billion, eleven million, one", and thus it is an aban number.