100112110010000 has 400 divisors, whose sum is σ = 269244594850176. Its totient is φ = 36043480000000.

The previous prime is 100112110009973. The next prime is 100112110010023. The reversal of 100112110010000 is 10011211001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100112110010000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1344272765 + ... + 1344347235.

Almost surely, 2^{100112110010000} is an apocalyptic number.

100112110010000 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 100112110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134622297425088).

100112110010000 is an abundant number, since it is smaller than the sum of its proper divisors (169132484840176).

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

100112110010000 is an equidigital number, since it uses as much as digits as its factorization.

100112110010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74633 (or 74590 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100112110010000 its reverse (10011211001), we get a palindrome (100122121221001).

100112110010000 divided by its reverse (10011211001) gives a 4-th power (10000 = 10⁴).

The spelling of 100112110010000 in words is "one hundred trillion, one hundred twelve billion, one hundred ten million, ten thousand".