11101122011200 has 84 divisors (see below), whose sum is σ = 29416905969220. Its totient is φ = 4098875811840.

The previous prime is 11101122011197. The next prime is 11101122011207. The reversal of 11101122011200 is 211022110111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3210461234176 + 7890660777024 = 1791776^2 + 2809032^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (11101122011207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 266833095 + ... + 266874694.

Almost surely, 2^{11101122011200} is an apocalyptic number.

11101122011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101122011200 is an abundant number, since it is smaller than the sum of its proper divisors (18315783958020).

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

11101122011200 is a wasteful number, since it uses less digits than its factorization.

11101122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533707824 (or 533707809 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11101122011200 its reverse (211022110111), we get a palindrome (11312144121311).

The spelling of 11101122011200 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, eleven thousand, two hundred".