10111012200 has 144 divisors (see below), whose sum is σ = 34874112780. Its totient is φ = 2623380480.

The previous prime is 10111012199. The next prime is 10111012211. The reversal of 10111012200 is 221011101.

It is a happy number.

10111012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6194004804 + 3917007396 = 78702^2 + 62586^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9309 + ... + 142508.

Almost surely, 2^10111012200 is an apocalyptic number.

10111012200 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 10111012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437056390).

10111012200 is an abundant number, since it is smaller than the sum of its proper divisors (24763100580).

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

10111012200 is a wasteful number, since it uses less digits than its factorization.

10111012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151876 (or 151864 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10111012200 its reverse (221011101), we get a palindrome (10332023301).

The spelling of 10111012200 in words is "ten billion, one hundred eleven million, twelve thousand, two hundred".