100002112 has 28 divisors (see below), whose sum is σ = 226791520. Its totient is φ = 42857856.

The previous prime is 100002103. The next prime is 100002113. The reversal of 100002112 is 211200001.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100002095 and 100002104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111162 + ... + 112057.

Almost surely, 2^100002112 is an apocalyptic number.

It is an amenable number.

100002112 is an abundant number, since it is smaller than the sum of its proper divisors (126789408).

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

100002112 is an equidigital number, since it uses as much as digits as its factorization.

100002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223238 (or 223228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100002112 is about 10000.1055994424. The cubic root of 100002112 is about 464.1621510168.

Adding to 100002112 its reverse (211200001), we get a palindrome (311202113).

The spelling of 100002112 in words is "one hundred million, two thousand, one hundred twelve".