33222023211121 has 2 divisors, whose sum is σ = 33222023211122. Its totient is φ = 33222023211120.

The previous prime is 33222023211023. The next prime is 33222023211127. The reversal of 33222023211121 is 12111232022233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23836745879521 + 9385277331600 = 4882289^2 + 3063540^2 .

It is a cyclic number.

It is not a de Polignac number, because 33222023211121 - 2⁹ = 33222023210609 is a prime.

It is a super-2 number, since 2×33222023211121² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33222023211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16611011605560 + 16611011605561.

It is an arithmetic number, because the mean of its divisors is an integer number (16611011605561).

Almost surely, 2^{33222023211121} is an apocalyptic number.

It is an amenable number.

33222023211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33222023211121 is an equidigital number, since it uses as much as digits as its factorization.

33222023211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 33222023211121 its reverse (12111232022233), we get a palindrome (45333255233354).

The spelling of 33222023211121 in words is "thirty-three trillion, two hundred twenty-two billion, twenty-three million, two hundred eleven thousand, one hundred twenty-one".