212122101121201 has 2 divisors, whose sum is σ = 212122101121202. Its totient is φ = 212122101121200.

The previous prime is 212122101121193. The next prime is 212122101121207. The reversal of 212122101121201 is 102121101221212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207574327353600 + 4547773767601 = 14407440^2 + 2132551^2 .

It is a cyclic number.

It is not a de Polignac number, because 212122101121201 - 2³ = 212122101121193 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122101121207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061050560600 + 106061050560601.

It is an arithmetic number, because the mean of its divisors is an integer number (106061050560601).

Almost surely, 2^{212122101121201} is an apocalyptic number.

It is an amenable number.

212122101121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122101121201 is an equidigital number, since it uses as much as digits as its factorization.

212122101121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 212122101121201 its reverse (102121101221212), we get a palindrome (314243202342413).

The spelling of 212122101121201 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred one".