11200122100 has 36 divisors (see below), whose sum is σ = 24308898124. Its totient is φ = 4479194880.

The previous prime is 11200122077. The next prime is 11200122107. The reversal of 11200122100 is 122100211.

11200122100 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 921001104 + 10279120996 = 30348^2 + 101386^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

11200122100 is a modest number, since divided by 122100 gives 11200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200122107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 921664 + ... + 933736.

Almost surely, 2^11200122100 is an apocalyptic number.

11200122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200122100 is an abundant number, since it is smaller than the sum of its proper divisors (13108776024).

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

11200122100 is a wasteful number, since it uses less digits than its factorization.

11200122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21364 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11200122100 its reverse (122100211), we get a palindrome (11322222311).

The spelling of 11200122100 in words is "eleven billion, two hundred million, one hundred twenty-two thousand, one hundred".