9805116432101 has 8 divisors (see below), whose sum is σ = 10054049469144. Its totient is φ = 9559028344320.

The previous prime is 9805116432073. The next prime is 9805116432119. The reversal of 9805116432101 is 1012346115089.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8210172100 + 9796906260001 = 90610^2 + 3130001^2 .

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 9805116432101 - 2⁶ = 9805116432037 is a prime.

It is a super-2 number, since 2×9805116432101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9805116432901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711230336 + ... + 711244121.

It is an arithmetic number, because the mean of its divisors is an integer number (1256756183643).

Almost surely, 2^{9805116432101} is an apocalyptic number.

It is an amenable number.

9805116432101 is a deficient number, since it is larger than the sum of its proper divisors (248933037043).

9805116432101 is a wasteful number, since it uses less digits than its factorization.

9805116432101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422474631.

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 9805116432101 in words is "nine trillion, eight hundred five billion, one hundred sixteen million, four hundred thirty-two thousand, one hundred one".