101116615116 has 96 divisors (see below), whose sum is σ = 259324934400. Its totient is φ = 30411313920.

The previous prime is 101116615081. The next prime is 101116615151. The reversal of 101116615116 is 611516611101.

It is an interprime number because it is at equal distance from previous prime (101116615081) and next prime (101116615151).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17833930 + ... + 17839598.

It is an arithmetic number, because the mean of its divisors is an integer number (2701301400).

Almost surely, 2^101116615116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101116615116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129662467200).

101116615116 is an abundant number, since it is smaller than the sum of its proper divisors (158208319284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101116615116 is a wasteful number, since it uses less digits than its factorization.

101116615116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 30.

The spelling of 101116615116 in words is "one hundred one billion, one hundred sixteen million, six hundred fifteen thousand, one hundred sixteen".