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212222001212101 is a prime number
BaseRepresentation
bin110000010000001111001000…
…111111101110101011000101
31000211102020002011011020000201
4300100033020333232223011
5210304021124302241401
62031205235204010501
762462351012441536
oct6020171077565305
91024366064136021
10212222001212101
1161690933082671
121b976066990a31
1391555ab15551a
143a5985769c68d
1519805abc01b01
hexc103c8feeac5

212222001212101 has 2 divisors, whose sum is σ = 212222001212102. Its totient is φ = 212222001212100.

The previous prime is 212222001212087. The next prime is 212222001212197. The reversal of 212222001212101 is 101212100222212.

212222001212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182022865812225 + 30199135399876 = 13491585^2 + 5495374^2 .

It is a cyclic number.

It is not a de Polignac number, because 212222001212101 - 241 = 210022977956549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212222001219101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106111000606050 + 106111000606051.

It is an arithmetic number, because the mean of its divisors is an integer number (106111000606051).

Almost surely, 2212222001212101 is an apocalyptic number.

It is an amenable number.

212222001212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212222001212101 is an equidigital number, since it uses as much as digits as its factorization.

212222001212101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212222001212101 its reverse (101212100222212), we get a palindrome (313434101434313).

The spelling of 212222001212101 in words is "two hundred twelve trillion, two hundred twenty-two billion, one million, two hundred twelve thousand, one hundred one".