11102200200 has 960 divisors, whose sum is σ = 50363026560. Its totient is φ = 2199674880.

The previous prime is 11102200199. The next prime is 11102200201. The reversal of 11102200200 is 200220111.

It is an interprime number because it is at equal distance from previous prime (11102200199) and next prime (11102200201).

It is a super-3 number, since 3×11102200200³ (a number of 31 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11102200201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25061179 + ... + 25061621.

It is an arithmetic number, because the mean of its divisors is an integer number (52461486).

Almost surely, 2^11102200200 is an apocalyptic number.

11102200200 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 11102200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181513280).

11102200200 is an abundant number, since it is smaller than the sum of its proper divisors (39260826360).

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

11102200200 is a wasteful number, since it uses less digits than its factorization.

11102200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

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

Adding to 11102200200 its reverse (200220111), we get a palindrome (11302420311).

The spelling of 11102200200 in words is "eleven billion, one hundred two million, two hundred thousand, two hundred".