34418057101 has 2 divisors, whose sum is σ = 34418057102. Its totient is φ = 34418057100.

The previous prime is 34418057077. The next prime is 34418057123. The reversal of 34418057101 is 10175081443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18899375625 + 15518681476 = 137475^2 + 124574^2 .

It is a cyclic number.

It is not a de Polignac number, because 34418057101 - 2¹¹ = 34418055053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34418057131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17209028550 + 17209028551.

It is an arithmetic number, because the mean of its divisors is an integer number (17209028551).

Almost surely, 2^34418057101 is an apocalyptic number.

It is an amenable number.

34418057101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34418057101 is an equidigital number, since it uses as much as digits as its factorization.

34418057101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 34418057101 in words is "thirty-four billion, four hundred eighteen million, fifty-seven thousand, one hundred one".