100122320120033 has 2 divisors, whose sum is σ = 100122320120034. Its totient is φ = 100122320120032.

The previous prime is 100122320120003. The next prime is 100122320120051. The reversal of 100122320120033 is 330021023221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99601358082304 + 520962037729 = 9980048^2 + 721777^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122320120033 - 2¹⁴ = 100122320103649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122320119987 and 100122320120014.

It is not a weakly prime, because it can be changed into another prime (100122320120003) 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, 50061160060016 + 50061160060017.

It is an arithmetic number, because the mean of its divisors is an integer number (50061160060017).

Almost surely, 2^{100122320120033} is an apocalyptic number.

It is an amenable number.

100122320120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122320120033 is an equidigital number, since it uses as much as digits as its factorization.

100122320120033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100122320120033 its reverse (330021023221001), we get a palindrome (430143343341034).

The spelling of 100122320120033 in words is "one hundred trillion, one hundred twenty-two billion, three hundred twenty million, one hundred twenty thousand, thirty-three".