42213012403201 has 2 divisors, whose sum is σ = 42213012403202. Its totient is φ = 42213012403200.

The previous prime is 42213012403097. The next prime is 42213012403231. The reversal of 42213012403201 is 10230421031224.

42213012403201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27195651353025 + 15017361050176 = 5214945^2 + 3875224^2 .

It is a cyclic number.

It is not a de Polignac number, because 42213012403201 - 2¹⁵ = 42213012370433 is a prime.

It is not a weakly prime, because it can be changed into another prime (42213012403231) 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, 21106506201600 + 21106506201601.

It is an arithmetic number, because the mean of its divisors is an integer number (21106506201601).

Almost surely, 2^{42213012403201} is an apocalyptic number.

It is an amenable number.

42213012403201 is a deficient number, since it is larger than the sum of its proper divisors (1).

42213012403201 is an equidigital number, since it uses as much as digits as its factorization.

42213012403201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 42213012403201 its reverse (10230421031224), we get a palindrome (52443433434425).

The spelling of 42213012403201 in words is "forty-two trillion, two hundred thirteen billion, twelve million, four hundred three thousand, two hundred one".