212120212133 has 2 divisors, whose sum is σ = 212120212134. Its totient is φ = 212120212132.

The previous prime is 212120212079. The next prime is 212120212169. The reversal of 212120212133 is 331212021212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177799685569 + 34320526564 = 421663^2 + 185258^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120212133 - 2¹² = 212120208037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212120212033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060106066 + 106060106067.

It is an arithmetic number, because the mean of its divisors is an integer number (106060106067).

Almost surely, 2^212120212133 is an apocalyptic number.

It is an amenable number.

212120212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120212133 is an equidigital number, since it uses as much as digits as its factorization.

212120212133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212120212133 its reverse (331212021212), we get a palindrome (543332233345).

The spelling of 212120212133 in words is "two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, one hundred thirty-three".