212112112033 has 2 divisors, whose sum is σ = 212112112034. Its totient is φ = 212112112032.

The previous prime is 212112111977. The next prime is 212112112061. The reversal of 212112112033 is 330211211212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197253233424 + 14858878609 = 444132^2 + 121897^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112112033 - 2³⁷ = 74673158561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212112112033.

It is not a weakly prime, because it can be changed into another prime (212112152033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056056016 + 106056056017.

It is an arithmetic number, because the mean of its divisors is an integer number (106056056017).

Almost surely, 2^212112112033 is an apocalyptic number.

It is an amenable number.

212112112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112112033 is an equidigital number, since it uses as much as digits as its factorization.

212112112033 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 19.

Adding to 212112112033 its reverse (330211211212), we get a palindrome (542323323245).

The spelling of 212112112033 in words is "two hundred twelve billion, one hundred twelve million, one hundred twelve thousand, thirty-three".