122122102310033 has 16 divisors (see below), whose sum is σ = 142844647689216. Its totient is φ = 102219738279120.

The previous prime is 122122102309997. The next prime is 122122102310041. The reversal of 122122102310033 is 330013201221221.

It is not a de Polignac number, because 122122102310033 - 2⁸ = 122122102309777 is a prime.

It is a super-2 number, since 2×122122102310033² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122122102309990 and 122122102310008.

It is not an unprimeable number, because it can be changed into a prime (122122102310063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42294173 + ... + 45089258.

It is an arithmetic number, because the mean of its divisors is an integer number (8927790480576).

Almost surely, 2^{122122102310033} is an apocalyptic number.

It is an amenable number.

122122102310033 is a deficient number, since it is larger than the sum of its proper divisors (20722545379183).

122122102310033 is an equidigital number, since it uses as much as digits as its factorization.

122122102310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87388124.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122122102310033 its reverse (330013201221221), we get a palindrome (452135303531254).

The spelling of 122122102310033 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred two million, three hundred ten thousand, thirty-three".