10000002112 has 56 divisors (see below), whose sum is σ = 20038966272. Its totient is φ = 4951065600.

The previous prime is 10000002071. The next prime is 10000002113. The reversal of 10000002112 is 21120000001.

It is a junction number, because it is equal to n+sod(n) for n = 10000002095 and 10000002104.

It is not an unprimeable number, because it can be changed into a prime (10000002113) 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 7 ways as a sum of consecutive naturals, for example, 2846437 + ... + 2849947.

Almost surely, 2^10000002112 is an apocalyptic number.

It is an amenable number.

10000002112 is an abundant number, since it is smaller than the sum of its proper divisors (10038964160).

10000002112 is a wasteful number, since it uses less digits than its factorization.

10000002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3937 counting only the distinct ones).

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

Adding to 10000002112 its reverse (21120000001), we get a palindrome (31120002113).

The spelling of 10000002112 in words is "ten billion, two thousand, one hundred twelve".