33442205506121 has 2 divisors, whose sum is σ = 33442205506122. Its totient is φ = 33442205506120.

The previous prime is 33442205506117. The next prime is 33442205506123. The reversal of 33442205506121 is 12160550224433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17398375530496 + 16043829975625 = 4171136^2 + 4005475^2 .

It is a cyclic number.

It is not a de Polignac number, because 33442205506121 - 2² = 33442205506117 is a prime.

It is a super-2 number, since 2×33442205506121² (a number of 28 digits) contains 22 as substring.

Together with 33442205506123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (33442205506123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16721102753060 + 16721102753061.

It is an arithmetic number, because the mean of its divisors is an integer number (16721102753061).

Almost surely, 2^{33442205506121} is an apocalyptic number.

It is an amenable number.

33442205506121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33442205506121 is an equidigital number, since it uses as much as digits as its factorization.

33442205506121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 33442205506121 in words is "thirty-three trillion, four hundred forty-two billion, two hundred five million, five hundred six thousand, one hundred twenty-one".