42121033033 has 2 divisors, whose sum is σ = 42121033034. Its totient is φ = 42121033032.

The previous prime is 42121033021. The next prime is 42121033043. The reversal of 42121033033 is 33033012124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38106163264 + 4014869769 = 195208^2 + 63363^2 .

It is a cyclic number.

It is not a de Polignac number, because 42121033033 - 2⁹ = 42121032521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42121032995 and 42121033013.

It is not a weakly prime, because it can be changed into another prime (42121033043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21060516516 + 21060516517.

It is an arithmetic number, because the mean of its divisors is an integer number (21060516517).

Almost surely, 2^42121033033 is an apocalyptic number.

It is an amenable number.

42121033033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42121033033 is an equidigital number, since it uses as much as digits as its factorization.

42121033033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 42121033033 its reverse (33033012124), we get a palindrome (75154045157).

The spelling of 42121033033 in words is "forty-two billion, one hundred twenty-one million, thirty-three thousand, thirty-three".