11200000102200 has 1536 divisors, whose sum is σ = 49246048051200. Its totient is φ = 2305104998400.

The previous prime is 11200000102199. The next prime is 11200000102237. The reversal of 11200000102200 is 220100000211.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1631935969 + ... + 1631942831.

It is an arithmetic number, because the mean of its divisors is an integer number (32061229200).

Almost surely, 2^{11200000102200} is an apocalyptic number.

11200000102200 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 11200000102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24623024025600).

11200000102200 is an abundant number, since it is smaller than the sum of its proper divisors (38046047949000).

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

11200000102200 is a wasteful number, since it uses less digits than its factorization.

11200000102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6934 counting only the distinct ones).

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

Adding to 11200000102200 its reverse (220100000211), we get a palindrome (11420100102411).

The spelling of 11200000102200 in words is "eleven trillion, two hundred billion, one hundred two thousand, two hundred".