212120110033 has 16 divisors (see below), whose sum is σ = 232250555152. Its totient is φ = 192536352000.

The previous prime is 212120110001. The next prime is 212120110043. The reversal of 212120110033 is 330011021212.

It can be written as a sum of positive squares in 8 ways, for example, as 55607299344 + 156512810689 = 235812^2 + 395617^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120110033 - 2⁵ = 212120110001 is a prime.

It is a super-2 number, since 2×212120110033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212120109989 and 212120110016.

It is not an unprimeable number, because it can be changed into a prime (212120110043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2770243 + ... + 2845783.

It is an arithmetic number, because the mean of its divisors is an integer number (14515659697).

Almost surely, 2^212120110033 is an apocalyptic number.

It is an amenable number.

212120110033 is a deficient number, since it is larger than the sum of its proper divisors (20130445119).

212120110033 is a wasteful number, since it uses less digits than its factorization.

212120110033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79156.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212120110033 its reverse (330011021212), we get a palindrome (542131131245).

The spelling of 212120110033 in words is "two hundred twelve billion, one hundred twenty million, one hundred ten thousand, thirty-three".