120033010121033 has 2 divisors, whose sum is σ = 120033010121034. Its totient is φ = 120033010121032.

The previous prime is 120033010121009. The next prime is 120033010121047. The reversal of 120033010121033 is 330121010330021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94409439468304 + 25623570652729 = 9716452^2 + 5061973^2 .

It is an emirp because it is prime and its reverse (330121010330021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120033010121033 - 2¹⁴ = 120033010104649 is a prime.

It is a super-2 number, since 2×120033010121033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120033010120996 and 120033010121014.

It is not a weakly prime, because it can be changed into another prime (120033010121053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60016505060516 + 60016505060517.

It is an arithmetic number, because the mean of its divisors is an integer number (60016505060517).

Almost surely, 2^{120033010121033} is an apocalyptic number.

It is an amenable number.

120033010121033 is a deficient number, since it is larger than the sum of its proper divisors (1).

120033010121033 is an equidigital number, since it uses as much as digits as its factorization.

120033010121033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 120033010121033 its reverse (330121010330021), we get a palindrome (450154020451054).

The spelling of 120033010121033 in words is "one hundred twenty trillion, thirty-three billion, ten million, one hundred twenty-one thousand, thirty-three".