100020112 has 20 divisors (see below), whose sum is σ = 205188876. Its totient is φ = 47068160.

The previous prime is 100020103. The next prime is 100020113. The reversal of 100020112 is 211020001.

It can be written as a sum of positive squares in 2 ways, for example, as 39740416 + 60279696 = 6304^2 + 7764^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100020095 and 100020104.

It is not an unprimeable number, because it can be changed into a prime (100020113) 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, 183589 + ... + 184132.

Almost surely, 2^100020112 is an apocalyptic number.

It is an amenable number.

100020112 is an abundant number, since it is smaller than the sum of its proper divisors (105168764).

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

100020112 is a wasteful number, since it uses less digits than its factorization.

100020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367746 (or 367740 counting only the distinct ones).

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

The square root of 100020112 is about 10001.0055494435. The cubic root of 100020112 is about 464.1899984870.

Adding to 100020112 its reverse (211020001), we get a palindrome (311040113).

It can be divided in two parts, 1000 and 20112, that added together give a palindrome (21112).

The spelling of 100020112 in words is "one hundred million, twenty thousand, one hundred twelve".