34100205635341 has 2 divisors, whose sum is σ = 34100205635342. Its totient is φ = 34100205635340.

The previous prime is 34100205635303. The next prime is 34100205635381. The reversal of 34100205635341 is 14353650200143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31175985934116 + 2924219701225 = 5583546^2 + 1710035^2 .

It is a cyclic number.

It is not a de Polignac number, because 34100205635341 - 2¹⁹ = 34100205111053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34100205635341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34100205635381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17050102817670 + 17050102817671.

It is an arithmetic number, because the mean of its divisors is an integer number (17050102817671).

Almost surely, 2^{34100205635341} is an apocalyptic number.

It is an amenable number.

34100205635341 is a deficient number, since it is larger than the sum of its proper divisors (1).

34100205635341 is an equidigital number, since it uses as much as digits as its factorization.

34100205635341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 34100205635341 its reverse (14353650200143), we get a palindrome (48453855835484).

The spelling of 34100205635341 in words is "thirty-four trillion, one hundred billion, two hundred five million, six hundred thirty-five thousand, three hundred forty-one".