101112002112 has 112 divisors (see below), whose sum is σ = 293359344192. Its totient is φ = 30481121280.

The previous prime is 101112002111. The next prime is 101112002141. The reversal of 101112002112 is 211200211101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101112002111) 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 15 ways as a sum of consecutive naturals, for example, 283588 + ... + 531644.

Almost surely, 2^101112002112 is an apocalyptic number.

101112002112 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 101112002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146679672096).

101112002112 is an abundant number, since it is smaller than the sum of its proper divisors (192247342080).

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

101112002112 is a wasteful number, since it uses less digits than its factorization.

101112002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248276 (or 248266 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112002112 its reverse (211200211101), we get a palindrome (312312213213).

The spelling of 101112002112 in words is "one hundred one billion, one hundred twelve million, two thousand, one hundred twelve".