11221100022133 has 2 divisors, whose sum is σ = 11221100022134. Its totient is φ = 11221100022132.

The previous prime is 11221100022089. The next prime is 11221100022137. The reversal of 11221100022133 is 33122000112211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9608865433489 + 1612234588644 = 3099817^2 + 1269738^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221100022133 - 2¹³ = 11221100013941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11221100022133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11221100022137) 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, 5610550011066 + 5610550011067.

It is an arithmetic number, because the mean of its divisors is an integer number (5610550011067).

Almost surely, 2^{11221100022133} is an apocalyptic number.

It is an amenable number.

11221100022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221100022133 is an equidigital number, since it uses as much as digits as its factorization.

11221100022133 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 19.

Adding to 11221100022133 its reverse (33122000112211), we get a palindrome (44343100134344).

The spelling of 11221100022133 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, twenty-two thousand, one hundred thirty-three".