329406202601101 has 8 divisors (see below), whose sum is σ = 330212540955960. Its totient is φ = 328599868852992.

The previous prime is 329406202601039. The next prime is 329406202601173. The reversal of 329406202601101 is 101106202604923.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 423148949001 + 328983053652100 = 650499^2 + 18137890^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 329406202601101 - 2¹¹ = 329406202599053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329406202607101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174938841 + ... + 176811793.

It is an arithmetic number, because the mean of its divisors is an integer number (41276567619495).

Almost surely, 2^{329406202601101} is an apocalyptic number.

It is an amenable number.

329406202601101 is a deficient number, since it is larger than the sum of its proper divisors (806338354859).

329406202601101 is a wasteful number, since it uses less digits than its factorization.

329406202601101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303375.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 329406202601101 in words is "three hundred twenty-nine trillion, four hundred six billion, two hundred two million, six hundred one thousand, one hundred one".