10002002112 has 84 divisors (see below), whose sum is σ = 28684368336. Its totient is φ = 3332206080.

The previous prime is 10002002089. The next prime is 10002002149. The reversal of 10002002112 is 21120020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10002002094 and 10002002103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1469437 + ... + 1476227.

Almost surely, 2^10002002112 is an apocalyptic number.

10002002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002002112 is an abundant number, since it is smaller than the sum of its proper divisors (18682366224).

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

10002002112 is a wasteful number, since it uses less digits than its factorization.

10002002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002002112 its reverse (21120020001), we get a palindrome (31122022113).

The spelling of 10002002112 in words is "ten billion, two million, two thousand, one hundred twelve".