42121404121033 has 2 divisors, whose sum is σ = 42121404121034. Its totient is φ = 42121404121032.

The previous prime is 42121404121019. The next prime is 42121404121063. The reversal of 42121404121033 is 33012140412124.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41300519196304 + 820884924729 = 6426548^2 + 906027^2 .

It is a cyclic number.

It is not a de Polignac number, because 42121404121033 - 2³⁷ = 41983965167561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42121404120992 and 42121404121010.

It is not a weakly prime, because it can be changed into another prime (42121404121063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21060702060516 + 21060702060517.

It is an arithmetic number, because the mean of its divisors is an integer number (21060702060517).

Almost surely, 2^{42121404121033} is an apocalyptic number.

It is an amenable number.

42121404121033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42121404121033 is an equidigital number, since it uses as much as digits as its factorization.

42121404121033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 42121404121033 its reverse (33012140412124), we get a palindrome (75133544533157).

The spelling of 42121404121033 in words is "forty-two trillion, one hundred twenty-one billion, four hundred four million, one hundred twenty-one thousand, thirty-three".