111102012109968 has 160 divisors (see below), whose sum is σ = 316354356608640. Its totient is φ = 33318000967680.

The previous prime is 111102012109967. The next prime is 111102012109993. The reversal of 111102012109968 is 869901210201111.

It is a super-3 number, since 3×111102012109968³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (111102012109967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886844838 + ... + 886970106.

It is an arithmetic number, because the mean of its divisors is an integer number (1977214728804).

Almost surely, 2^{111102012109968} 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 111102012109968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158177178304320).

111102012109968 is an abundant number, since it is smaller than the sum of its proper divisors (205252344498672).

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

111102012109968 is a wasteful number, since it uses less digits than its factorization.

111102012109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142705 (or 142699 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 42.

The spelling of 111102012109968 in words is "one hundred eleven trillion, one hundred two billion, twelve million, one hundred nine thousand, nine hundred sixty-eight".