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212122012011001 is a prime number
BaseRepresentation
bin110000001110110010000001…
…001011001100100111111001
31000211001122222201211112002021
4300032302001023030213321
5210300401340033323001
62031051301304234441
762452211126320651
oct6016620113144771
91024048881745067
10212122012011001
1161652492852984
121b95a80076ba21
139149034957181
143a54a8dc4d361
15197cba88ebba1
hexc0ec812cc9f9

212122012011001 has 2 divisors, whose sum is σ = 212122012011002. Its totient is φ = 212122012011000.

The previous prime is 212122012010983. The next prime is 212122012011037. The reversal of 212122012011001 is 100110210221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116231599717776 + 95890412293225 = 10781076^2 + 9792365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212122012011001 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122012011071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061006005500 + 106061006005501.

It is an arithmetic number, because the mean of its divisors is an integer number (106061006005501).

Almost surely, 2212122012011001 is an apocalyptic number.

It is an amenable number.

212122012011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122012011001 is an equidigital number, since it uses as much as digits as its factorization.

212122012011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212122012011001 its reverse (100110210221212), we get a palindrome (312232222232213).

The spelling of 212122012011001 in words is "two hundred twelve trillion, one hundred twenty-two billion, twelve million, eleven thousand, one".