212012212033 has 2 divisors, whose sum is σ = 212012212034. Its totient is φ = 212012212032.

The previous prime is 212012211997. The next prime is 212012212043. The reversal of 212012212033 is 330212210212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 145204437249 + 66807774784 = 381057^2 + 258472^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012212033 - 2¹⁷ = 212012080961 is a prime.

It is a super-2 number, since 2×212012212033² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212012212033.

It is not a weakly prime, because it can be changed into another prime (212012212043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006106016 + 106006106017.

It is an arithmetic number, because the mean of its divisors is an integer number (106006106017).

Almost surely, 2^212012212033 is an apocalyptic number.

It is an amenable number.

212012212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012212033 is an equidigital number, since it uses as much as digits as its factorization.

212012212033 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 19.

Adding to 212012212033 its reverse (330212210212), we get a palindrome (542224422245).

It can be divided in two parts, 2120 and 12212033, that added together give a triangular number (12214153 = T₄₉₄₂).

The spelling of 212012212033 in words is "two hundred twelve billion, twelve million, two hundred twelve thousand, thirty-three".