101125112 has 64 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 41367040.

The previous prime is 101125111. The next prime is 101125151. The reversal of 101125112 is 211521101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101125111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32939 + ... + 35877.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^101125112 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 101125112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114307200).

101125112 is an abundant number, since it is smaller than the sum of its proper divisors (127489288).

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

101125112 is a wasteful number, since it uses less digits than its factorization.

101125112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 101125112 is about 10056.0982493212. The cubic root of 101125112 is about 465.8931644297.

Adding to 101125112 its reverse (211521101), we get a palindrome (312646213).

The spelling of 101125112 in words is "one hundred one million, one hundred twenty-five thousand, one hundred twelve".