10002200112 has 200 divisors, whose sum is σ = 29518269440. Its totient is φ = 3269185920.

The previous prime is 10002200069. The next prime is 10002200147. The reversal of 10002200112 is 21100220001.

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 = 10002200094 and 10002200103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21602793 + ... + 21603255.

Almost surely, 2^10002200112 is an apocalyptic number.

10002200112 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 10002200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14759134720).

10002200112 is an abundant number, since it is smaller than the sum of its proper divisors (19516069328).

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

10002200112 is a wasteful number, since it uses less digits than its factorization.

10002200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 758 counting only the distinct ones).

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

Adding to 10002200112 its reverse (21100220001), we get a palindrome (31102420113).

The spelling of 10002200112 in words is "ten billion, two million, two hundred thousand, one hundred twelve".