221122120033033 has 2 divisors, whose sum is σ = 221122120033034. Its totient is φ = 221122120033032.

The previous prime is 221122120032973. The next prime is 221122120033081. The reversal of 221122120033033 is 330330021221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131630463273024 + 89491656760009 = 11473032^2 + 9460003^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122120033033 - 2⁴¹ = 218923096777481 is a prime.

It is a super-2 number, since 2×221122120033033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221122120032989 and 221122120033007.

It is not a weakly prime, because it can be changed into another prime (221122120033733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561060016516 + 110561060016517.

It is an arithmetic number, because the mean of its divisors is an integer number (110561060016517).

Almost surely, 2^{221122120033033} is an apocalyptic number.

It is an amenable number.

221122120033033 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122120033033 is an equidigital number, since it uses as much as digits as its factorization.

221122120033033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 221122120033033 its reverse (330330021221122), we get a palindrome (551452141254155).

The spelling of 221122120033033 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, thirty-three thousand, thirty-three".