34012414424101 has 2 divisors, whose sum is σ = 34012414424102. Its totient is φ = 34012414424100.

The previous prime is 34012414424081. The next prime is 34012414424111. The reversal of 34012414424101 is 10142441421043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21880184995876 + 12132229428225 = 4677626^2 + 3483135^2 .

It is a cyclic number.

It is not a de Polignac number, because 34012414424101 - 2¹⁷ = 34012414293029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34012414424111) 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, 17006207212050 + 17006207212051.

It is an arithmetic number, because the mean of its divisors is an integer number (17006207212051).

Almost surely, 2^{34012414424101} is an apocalyptic number.

It is an amenable number.

34012414424101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012414424101 is an equidigital number, since it uses as much as digits as its factorization.

34012414424101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 34012414424101 its reverse (10142441421043), we get a palindrome (44154855845144).

The spelling of 34012414424101 in words is "thirty-four trillion, twelve billion, four hundred fourteen million, four hundred twenty-four thousand, one hundred one".