100111120334000 has 160 divisors (see below), whose sum is σ = 244318473974016. Its totient is φ = 39672587673600.

The previous prime is 100111120333963. The next prime is 100111120334023. The reversal of 100111120334000 is 433021111001.

It is a self number, because there is not a number n which added to its sum of digits gives 100111120334000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519025577 + ... + 519218423.

Almost surely, 2^{100111120334000} is an apocalyptic number.

100111120334000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111120334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122159236987008).

100111120334000 is an abundant number, since it is smaller than the sum of its proper divisors (144207353640016).

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

100111120334000 is a wasteful number, since it uses less digits than its factorization.

100111120334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195280 (or 195264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100111120334000 its reverse (433021111001), we get a palindrome (100544141445001).

The spelling of 100111120334000 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, three hundred thirty-four thousand".