112000101012 has 72 divisors (see below), whose sum is σ = 302566694976. Its totient is φ = 34808880384.

The previous prime is 112000100999. The next prime is 112000101041. The reversal of 112000101012 is 210101000211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112000100985 and 112000101003.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 789688 + ... + 920655.

It is an arithmetic number, because the mean of its divisors is an integer number (4202315208).

Almost surely, 2^112000101012 is an apocalyptic number.

112000101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112000101012 is an abundant number, since it is smaller than the sum of its proper divisors (190566593964).

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

112000101012 is a wasteful number, since it uses less digits than its factorization.

112000101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710477 (or 1710472 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112000101012 its reverse (210101000211), we get a palindrome (322101101223).

The spelling of 112000101012 in words is "one hundred twelve billion, one hundred one thousand, twelve".