11202200100 has 576 divisors, whose sum is σ = 44797132800. Its totient is φ = 2338398720.

The previous prime is 11202200077. The next prime is 11202200123. The reversal of 11202200100 is 100220211.

It is an interprime number because it is at equal distance from previous prime (11202200077) and next prime (11202200123).

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31203721 + ... + 31204079.

It is an arithmetic number, because the mean of its divisors is an integer number (77772800).

Almost surely, 2^11202200100 is an apocalyptic number.

11202200100 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 11202200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22398566400).

11202200100 is an abundant number, since it is smaller than the sum of its proper divisors (33594932700).

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

11202200100 is a wasteful number, since it uses less digits than its factorization.

11202200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

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

Adding to 11202200100 its reverse (100220211), we get a palindrome (11302420311).

The spelling of 11202200100 in words is "eleven billion, two hundred two million, two hundred thousand, one hundred".