11202121212200 has 96 divisors (see below), whose sum is σ = 28527917455800. Its totient is φ = 4071846051840.

The previous prime is 11202121212193. The next prime is 11202121212203. The reversal of 11202121212200 is 221212120211.

It can be written as a sum of positive squares in 12 ways, for example, as 2687245475524 + 8514875736676 = 1639282^2 + 2918026^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11202121212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56707289 + ... + 56904488.

Almost surely, 2^{11202121212200} is an apocalyptic number.

11202121212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202121212200 is an abundant number, since it is smaller than the sum of its proper divisors (17325796243600).

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

11202121212200 is a wasteful number, since it uses less digits than its factorization.

11202121212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113611839 (or 113611830 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11202121212200 its reverse (221212120211), we get a palindrome (11423333332411).

The spelling of 11202121212200 in words is "eleven trillion, two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".