22120002010133 has 2 divisors, whose sum is σ = 22120002010134. Its totient is φ = 22120002010132.

The previous prime is 22120002010079. The next prime is 22120002010219. The reversal of 22120002010133 is 33101020002122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20756343263569 + 1363658746564 = 4555913^2 + 1167758^2 .

It is a cyclic number.

It is not a de Polignac number, because 22120002010133 - 2¹⁰ = 22120002009109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22120002010333) 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, 11060001005066 + 11060001005067.

It is an arithmetic number, because the mean of its divisors is an integer number (11060001005067).

Almost surely, 2^{22120002010133} is an apocalyptic number.

It is an amenable number.

22120002010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22120002010133 is an equidigital number, since it uses as much as digits as its factorization.

22120002010133 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 17.

Adding to 22120002010133 its reverse (33101020002122), we get a palindrome (55221022012255).

The spelling of 22120002010133 in words is "twenty-two trillion, one hundred twenty billion, two million, ten thousand, one hundred thirty-three".