212121011201017 has 2 divisors, whose sum is σ = 212121011201018. Its totient is φ = 212121011201016.

The previous prime is 212121011200991. The next prime is 212121011201027. The reversal of 212121011201017 is 710102110121212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209096834552761 + 3024176648256 = 14460181^2 + 1739016^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212121011201017 is a prime.

It is a super-3 number, since 3×212121011201017³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212121011201027) 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, 106060505600508 + 106060505600509.

It is an arithmetic number, because the mean of its divisors is an integer number (106060505600509).

Almost surely, 2^{212121011201017} is an apocalyptic number.

It is an amenable number.

212121011201017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121011201017 is an equidigital number, since it uses as much as digits as its factorization.

212121011201017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 212121011201017 its reverse (710102110121212), we get a palindrome (922223121322229).

The spelling of 212121011201017 in words is "two hundred twelve trillion, one hundred twenty-one billion, eleven million, two hundred one thousand, seventeen".