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212222101121201 is a prime number
BaseRepresentation
bin110000010000001111001110…
…111100110110100010110001
31000211102020100010011010112202
4300100033032330312202301
5210304021330341334301
62031205253133232545
762462353334604653
oct6020171674664261
91024366303133482
10212222101121201
1161690984511876
121b976094332755
1391555c5a66832
143a59866a686d3
1519805b588966b
hexc103cef368b1

212222101121201 has 2 divisors, whose sum is σ = 212222101121202. Its totient is φ = 212222101121200.

The previous prime is 212222101121197. The next prime is 212222101121207. The reversal of 212222101121201 is 102121101222212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114571655554225 + 97650445566976 = 10703815^2 + 9881824^2 .

It is a cyclic number.

It is not a de Polignac number, because 212222101121201 - 22 = 212222101121197 is a prime.

It is not a weakly prime, because it can be changed into another prime (212222101121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106111050560600 + 106111050560601.

It is an arithmetic number, because the mean of its divisors is an integer number (106111050560601).

Almost surely, 2212222101121201 is an apocalyptic number.

It is an amenable number.

212222101121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212222101121201 is an equidigital number, since it uses as much as digits as its factorization.

212222101121201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212222101121201 its reverse (102121101222212), we get a palindrome (314343202343413).

The spelling of 212222101121201 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred one".