220122120112033 has 2 divisors, whose sum is σ = 220122120112034. Its totient is φ = 220122120112032.

The previous prime is 220122120112009. The next prime is 220122120112057. The reversal of 220122120112033 is 330211021221022.

It is a balanced prime because it is at equal distance from previous prime (220122120112009) and next prime (220122120112057).

It can be written as a sum of positive squares in only one way, i.e., 191639917367649 + 28482202744384 = 13843407^2 + 5336872^2 .

It is a cyclic number.

It is not a de Polignac number, because 220122120112033 - 2³³ = 220113530177441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220122120111995 and 220122120112013.

It is not a weakly prime, because it can be changed into another prime (220122120110033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110061060056016 + 110061060056017.

It is an arithmetic number, because the mean of its divisors is an integer number (110061060056017).

Almost surely, 2^{220122120112033} is an apocalyptic number.

It is an amenable number.

220122120112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

220122120112033 is an equidigital number, since it uses as much as digits as its factorization.

220122120112033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 220122120112033 its reverse (330211021221022), we get a palindrome (550333141333055).

The spelling of 220122120112033 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand, thirty-three".