11200202100 has 180 divisors, whose sum is σ = 36575265804. Its totient is φ = 2964625920.

The previous prime is 11200202093. The next prime is 11200202147. The reversal of 11200202100 is 120200211.

11200202100 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 96943716 + 11103258384 = 9846^2 + 105372^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 1104654 + ... + 1114746.

Almost surely, 2^11200202100 is an apocalyptic number.

11200202100 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 11200202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18287632902).

11200202100 is an abundant number, since it is smaller than the sum of its proper divisors (25375063704).

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

11200202100 is a wasteful number, since it uses less digits than its factorization.

11200202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10240 counting only the distinct ones).

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

Adding to 11200202100 its reverse (120200211), we get a palindrome (11320402311).

The spelling of 11200202100 in words is "eleven billion, two hundred million, two hundred two thousand, one hundred".