11202111120200 has 1536 divisors, whose sum is σ = 38364544512000. Its totient is φ = 2926032076800.

The previous prime is 11202111120149. The next prime is 11202111120227. The reversal of 11202111120200 is 202111120211.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 19083664307 + ... + 19083664893.

It is an arithmetic number, because the mean of its divisors is an integer number (24976917000).

Almost surely, 2^{11202111120200} is an apocalyptic number.

11202111120200 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 11202111120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19182272256000).

11202111120200 is an abundant number, since it is smaller than the sum of its proper divisors (27162433391800).

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

11202111120200 is a wasteful number, since it uses less digits than its factorization.

11202111120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11202111120200 its reverse (202111120211), we get a palindrome (11404222240411).

It can be divided in two parts, 11202111 and 120200, that added together give a palindrome (11322311).

The spelling of 11202111120200 in words is "eleven trillion, two hundred two billion, one hundred eleven million, one hundred twenty thousand, two hundred".