11102020200 has 288 divisors, whose sum is σ = 38742888600. Its totient is φ = 2846638080.

The previous prime is 11102020183. The next prime is 11102020217. The reversal of 11102020200 is 202020111.

11102020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11102020183) and next prime (11102020217).

It can be written as a sum of positive squares in 12 ways, for example, as 26244 + 11101993956 = 162^2 + 105366^2 .

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 71 ways as a sum of consecutive naturals, for example, 5926464 + ... + 5928336.

Almost surely, 2^11102020200 is an apocalyptic number.

11102020200 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 11102020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371444300).

11102020200 is an abundant number, since it is smaller than the sum of its proper divisors (27640868400).

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

11102020200 is a wasteful number, since it uses less digits than its factorization.

11102020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2009 counting only the distinct ones).

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

Adding to 11102020200 its reverse (202020111), we get a palindrome (11304040311).

The spelling of 11102020200 in words is "eleven billion, one hundred two million, twenty thousand, two hundred".