34100205635321 has 32 divisors (see below), whose sum is σ = 40654056775680. Its totient is φ = 27993961195200.

The previous prime is 34100205635303. The next prime is 34100205635341. The reversal of 34100205635321 is 12353650200143.

It is a happy number.

It is not a de Polignac number, because 34100205635321 - 2²⁶ = 34100138526457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34100205635341) 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 in 31 ways as a sum of consecutive naturals, for example, 4255076 + ... + 9290106.

It is an arithmetic number, because the mean of its divisors is an integer number (1270439274240).

Almost surely, 2^{34100205635321} is an apocalyptic number.

It is an amenable number.

34100205635321 is a deficient number, since it is larger than the sum of its proper divisors (6553851140359).

34100205635321 is a wasteful number, since it uses less digits than its factorization.

34100205635321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035485.

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 34100205635321 its reverse (12353650200143), we get a palindrome (46453855835464).

The spelling of 34100205635321 in words is "thirty-four trillion, one hundred billion, two hundred five million, six hundred thirty-five thousand, three hundred twenty-one".