100112201202112 has 224 divisors, whose sum is σ = 220727397268224. Its totient is φ = 44673903206400.

The previous prime is 100112201202109. The next prime is 100112201202119. The reversal of 100112201202112 is 211202102211001.

It is a super-3 number, since 3×100112201202112³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112201202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3701950063 + ... + 3701977105.

It is an arithmetic number, because the mean of its divisors is an integer number (985390166376).

Almost surely, 2^{100112201202112} 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 100112201202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110363698634112).

100112201202112 is an abundant number, since it is smaller than the sum of its proper divisors (120615196066112).

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

100112201202112 is a wasteful number, since it uses less digits than its factorization.

100112201202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27627 (or 27617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100112201202112 its reverse (211202102211001), we get a palindrome (311314303413113).

The spelling of 100112201202112 in words is "one hundred trillion, one hundred twelve billion, two hundred one million, two hundred two thousand, one hundred twelve".