101112332110112 has 96 divisors (see below), whose sum is σ = 206271927388800. Its totient is φ = 48731652845568.

The previous prime is 101112332110103. The next prime is 101112332110117. The reversal of 101112332110112 is 211011233211101.

It is a super-4 number, since 4×101112332110112⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (101112332110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2565697064 + ... + 2565736472.

It is an arithmetic number, because the mean of its divisors is an integer number (2148665910300).

Almost surely, 2^{101112332110112} 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 101112332110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103135963694400).

101112332110112 is an abundant number, since it is smaller than the sum of its proper divisors (105159595278688).

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

101112332110112 is a wasteful number, since it uses less digits than its factorization.

101112332110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43978 (or 43970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 101112332110112 its reverse (211011233211101), we get a palindrome (312123565321213).

The spelling of 101112332110112 in words is "one hundred one trillion, one hundred twelve billion, three hundred thirty-two million, one hundred ten thousand, one hundred twelve".