42121402003249 has 2 divisors, whose sum is σ = 42121402003250. Its totient is φ = 42121402003248.

The previous prime is 42121402003237. The next prime is 42121402003267. The reversal of 42121402003249 is 94230020412124.

42121402003249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30730392250000 + 11391009753249 = 5543500^2 + 3375057^2 .

It is a cyclic number.

It is not a de Polignac number, because 42121402003249 - 2¹⁵ = 42121401970481 is a prime.

It is not a weakly prime, because it can be changed into another prime (42121402006249) 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, 21060701001624 + 21060701001625.

It is an arithmetic number, because the mean of its divisors is an integer number (21060701001625).

Almost surely, 2^{42121402003249} is an apocalyptic number.

It is an amenable number.

42121402003249 is a deficient number, since it is larger than the sum of its proper divisors (1).

42121402003249 is an equidigital number, since it uses as much as digits as its factorization.

42121402003249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 42121402003249 in words is "forty-two trillion, one hundred twenty-one billion, four hundred two million, three thousand, two hundred forty-nine".