10001112 has 64 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 2956800.

The previous prime is 10001107. The next prime is 10001119. The reversal of 10001112 is 21110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10001112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10912 + ... + 11792.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 2^10001112 is an apocalyptic number.

10001112 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 10001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

10001112 is an abundant number, since it is smaller than the sum of its proper divisors (17940648).

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

10001112 is a wasteful number, since it uses less digits than its factorization.

10001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 10001112 is about 3162.4534779187. The cubic root of 10001112 is about 215.4514544785.

Adding to 10001112 its reverse (21110001), we get a palindrome (31111113).

Subtracting 10001112 from its reverse (21110001), we obtain a square (11108889 = 3333²).

Multiplying 10001112 by its reverse (21110001), we get a palindrome (211123484321112).

It can be divided in two parts, 1000 and 1112, that added together give a palindrome (2112).

The spelling of 10001112 in words is "ten million, one thousand, one hundred twelve".