11121101300 has 36 divisors (see below), whose sum is σ = 24588137196. Its totient is φ = 4364505600.

The previous prime is 11121101287. The next prime is 11121101311. The reversal of 11121101300 is 310112111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 93161104 + 11027940196 = 9652^2 + 105014^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1043861 + ... + 1054460.

It is an arithmetic number, because the mean of its divisors is an integer number (683003811).

Almost surely, 2^11121101300 is an apocalyptic number.

11121101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121101300 is an abundant number, since it is smaller than the sum of its proper divisors (13467035896).

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

11121101300 is a wasteful number, since it uses less digits than its factorization.

11121101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098388 (or 2098381 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11121101300 its reverse (310112111), we get a palindrome (11431213411).

The spelling of 11121101300 in words is "eleven billion, one hundred twenty-one million, one hundred one thousand, three hundred".