33121122121 has 2 divisors, whose sum is σ = 33121122122. Its totient is φ = 33121122120.

The previous prime is 33121122113. The next prime is 33121122137. The reversal of 33121122121 is 12122112133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20963854521 + 12157267600 = 144789^2 + 110260^2 .

It is a cyclic number.

It is not a de Polignac number, because 33121122121 - 2³ = 33121122113 is a prime.

It is a super-3 number, since 3×33121122121³ (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (33121122161) 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 as a sum of consecutive naturals, namely, 16560561060 + 16560561061.

It is an arithmetic number, because the mean of its divisors is an integer number (16560561061).

Almost surely, 2^33121122121 is an apocalyptic number.

It is an amenable number.

33121122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33121122121 is an equidigital number, since it uses as much as digits as its factorization.

33121122121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 19.

Adding to 33121122121 its reverse (12122112133), we get a palindrome (45243234254).

The spelling of 33121122121 in words is "thirty-three billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".