101116643076 has 144 divisors (see below), whose sum is σ = 283539110400. Its totient is φ = 30240967680.

The previous prime is 101116643027. The next prime is 101116643081. The reversal of 101116643076 is 670346611101.

101116643076 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 6 + 643 + 0 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101116643076.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231350 + ... + 1310898.

It is an arithmetic number, because the mean of its divisors is an integer number (1969021600).

Almost surely, 2^101116643076 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 101116643076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141769555200).

101116643076 is an abundant number, since it is smaller than the sum of its proper divisors (182422467324).

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

101116643076 is a wasteful number, since it uses less digits than its factorization.

101116643076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79674 (or 79669 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 101116643076 in words is "one hundred one billion, one hundred sixteen million, six hundred forty-three thousand, seventy-six".