21212102112001 has 2 divisors, whose sum is σ = 21212102112002. Its totient is φ = 21212102112000.

The previous prime is 21212102111987. The next prime is 21212102112049. The reversal of 21212102112001 is 10021120121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20951895000976 + 260207111025 = 4577324^2 + 510105^2 .

It is a cyclic number.

It is not a de Polignac number, because 21212102112001 - 2⁵ = 21212102111969 is a prime.

It is a super-3 number, since 3×21212102112001³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21212102118001) 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, 10606051056000 + 10606051056001.

It is an arithmetic number, because the mean of its divisors is an integer number (10606051056001).

Almost surely, 2^{21212102112001} is an apocalyptic number.

It is an amenable number.

21212102112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21212102112001 is an equidigital number, since it uses as much as digits as its factorization.

21212102112001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 21212102112001 its reverse (10021120121212), we get a palindrome (31233222233213).

The spelling of 21212102112001 in words is "twenty-one trillion, two hundred twelve billion, one hundred two million, one hundred twelve thousand, one".