212021102133 has 24 divisors (see below), whose sum is σ = 311360844600. Its totient is φ = 139008585600.

The previous prime is 212021102131. The next prime is 212021102141. The reversal of 212021102133 is 331201120212.

212021102133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104608905489 + 107412196644 = 323433^2 + 327738^2 .

It is not a de Polignac number, because 212021102133 - 2¹ = 212021102131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021102131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647266 + ... + 918147.

It is an arithmetic number, because the mean of its divisors is an integer number (12973368525).

Almost surely, 2^212021102133 is an apocalyptic number.

It is an amenable number.

212021102133 is a deficient number, since it is larger than the sum of its proper divisors (99339742467).

212021102133 is a wasteful number, since it uses less digits than its factorization.

212021102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565669 (or 1565666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212021102133 its reverse (331201120212), we get a palindrome (543222222345).

The spelling of 212021102133 in words is "two hundred twelve billion, twenty-one million, one hundred two thousand, one hundred thirty-three".