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222221012100041 is a prime number
BaseRepresentation
bin110010100001101111011100…
…011111001110001111001001
31002010211010021102012101012002
4302201233130133032033021
5213111332113044200131
62104342531301000345
764543636560603413
oct6241573437161711
91063733242171162
10222221012100041
116489644704a0a9
1220b0bb073b30b5
1396cc4753b6626
143cc37a92b59b3
151aa5729db46cb
hexca1bdc7ce3c9

222221012100041 has 2 divisors, whose sum is σ = 222221012100042. Its totient is φ = 222221012100040.

The previous prime is 222221012100029. The next prime is 222221012100067. The reversal of 222221012100041 is 140001210122222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116176924531600 + 106044087568441 = 10778540^2 + 10297771^2 .

It is a cyclic number.

It is not a de Polignac number, because 222221012100041 - 214 = 222221012083657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222221012099986 and 222221012100022.

It is not a weakly prime, because it can be changed into another prime (222221012300041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111110506050020 + 111110506050021.

It is an arithmetic number, because the mean of its divisors is an integer number (111110506050021).

Almost surely, 2222221012100041 is an apocalyptic number.

It is an amenable number.

222221012100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

222221012100041 is an equidigital number, since it uses as much as digits as its factorization.

222221012100041 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 20.

Adding to 222221012100041 its reverse (140001210122222), we get a palindrome (362222222222263).

The spelling of 222221012100041 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, twelve million, one hundred thousand, forty-one".