100112121110000 has 200 divisors, whose sum is σ = 247634694531840. Its totient is φ = 39177601632000.

The previous prime is 100112121109981. The next prime is 100112121110009. The reversal of 100112121110000 is 11121211001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121110009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1249689947 + ... + 1249770053.

Almost surely, 2^{100112121110000} is an apocalyptic number.

100112121110000 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 100112121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123817347265920).

100112121110000 is an abundant number, since it is smaller than the sum of its proper divisors (147522573421840).

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

100112121110000 is an equidigital number, since it uses as much as digits as its factorization.

100112121110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82841 (or 82820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100112121110000 its reverse (11121211001), we get a palindrome (100123242321001).

The spelling of 100112121110000 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-one million, one hundred ten thousand".