100112011202112 has 896 divisors, whose sum is σ = 337217221017600. Its totient is φ = 25515400495104.

The previous prime is 100112011202069. The next prime is 100112011202113. The reversal of 100112011202112 is 211202110211001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100112011202091 and 100112011202100.

It is not an unprimeable number, because it can be changed into a prime (100112011202113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12487461528 + ... + 12487469544.

It is an arithmetic number, because the mean of its divisors is an integer number (376358505600).

Almost surely, 2^{100112011202112} is an apocalyptic number.

100112011202112 is a gapful number since it is divisible by the number (12) 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 100112011202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168608610508800).

100112011202112 is an abundant number, since it is smaller than the sum of its proper divisors (237105209815488).

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

100112011202112 is a wasteful number, since it uses less digits than its factorization.

100112011202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112011202112 its reverse (211202110211001), we get a palindrome (311314121413113).

The spelling of 100112011202112 in words is "one hundred trillion, one hundred twelve billion, eleven million, two hundred two thousand, one hundred twelve".