104122120132033 has 2 divisors, whose sum is σ = 104122120132034. Its totient is φ = 104122120132032.

The previous prime is 104122120132031. The next prime is 104122120132091. The reversal of 104122120132033 is 330231021221401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104022395544769 + 99724587264 = 10199137^2 + 315792^2 .

It is a cyclic number.

It is not a de Polignac number, because 104122120132033 - 2¹ = 104122120132031 is a prime.

Together with 104122120132031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 104122120131989 and 104122120132007.

It is not a weakly prime, because it can be changed into another prime (104122120132031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52061060066016 + 52061060066017.

It is an arithmetic number, because the mean of its divisors is an integer number (52061060066017).

Almost surely, 2^{104122120132033} is an apocalyptic number.

It is an amenable number.

104122120132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

104122120132033 is an equidigital number, since it uses as much as digits as its factorization.

104122120132033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 104122120132033 its reverse (330231021221401), we get a palindrome (434353141353434).

The spelling of 104122120132033 in words is "one hundred four trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-two thousand, thirty-three".