101312112 has 80 divisors (see below), whose sum is σ = 302337792. Its totient is φ = 28892160.

The previous prime is 101312111. The next prime is 101312117. The reversal of 101312112 is 211213101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312111) 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, 3333 + ... + 14619.

Almost surely, 2^101312112 is an apocalyptic number.

101312112 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 101312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151168896).

101312112 is an abundant number, since it is smaller than the sum of its proper divisors (201025680).

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

101312112 is a wasteful number, since it uses less digits than its factorization.

101312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326 (or 11320 counting only the distinct ones).

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

The square root of 101312112 is about 10065.3917956531. The cubic root of 101312112 is about 466.1801632877.

Adding to 101312112 its reverse (211213101), we get a palindrome (312525213).

It can be divided in two parts, 101 and 312112, that added together give a palindrome (312213).

The spelling of 101312112 in words is "one hundred one million, three hundred twelve thousand, one hundred twelve".