212121033210101 has 2 divisors, whose sum is σ = 212121033210102. Its totient is φ = 212121033210100.

The previous prime is 212121033210083. The next prime is 212121033210169. The reversal of 212121033210101 is 101012330121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183377774307025 + 28743258903076 = 13541705^2 + 5361274^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121033210101 - 2²⁶ = 212120966101237 is a prime.

It is a super-3 number, since 3×212121033210101³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121033210001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060516605050 + 106060516605051.

It is an arithmetic number, because the mean of its divisors is an integer number (106060516605051).

Almost surely, 2^{212121033210101} is an apocalyptic number.

It is an amenable number.

212121033210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121033210101 is an equidigital number, since it uses as much as digits as its factorization.

212121033210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 212121033210101 its reverse (101012330121212), we get a palindrome (313133363331313).

The spelling of 212121033210101 in words is "two hundred twelve trillion, one hundred twenty-one billion, thirty-three million, two hundred ten thousand, one hundred one".