10111112002200 has 384 divisors, whose sum is σ = 35413401968640. Its totient is φ = 2365231680000.

The previous prime is 10111112002193. The next prime is 10111112002223. The reversal of 10111112002200 is 220021111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21794655 + ... + 22253745.

It is an arithmetic number, because the mean of its divisors is an integer number (92222400960).

Almost surely, 2^{10111112002200} is an apocalyptic number.

10111112002200 is a gapful number since it is divisible by the number (10) 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 10111112002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17706700984320).

10111112002200 is an abundant number, since it is smaller than the sum of its proper divisors (25302289966440).

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

10111112002200 is a wasteful number, since it uses less digits than its factorization.

10111112002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459239 (or 459230 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111112002200 its reverse (220021111101), we get a palindrome (10331133113301).

The spelling of 10111112002200 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, two thousand, two hundred".