11121122010300 has 288 divisors, whose sum is σ = 34039232016384. Its totient is φ = 2798813952000.

The previous prime is 11121122010283. The next prime is 11121122010329. The reversal of 11121122010300 is 301022112111.

11121122010300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11121122010300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11121122010300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1286120577 + ... + 1286129223.

Almost surely, 2^{11121122010300} is an apocalyptic number.

11121122010300 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 11121122010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019616008192).

11121122010300 is an abundant number, since it is smaller than the sum of its proper divisors (22918110006084).

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

11121122010300 is a wasteful number, since it uses less digits than its factorization.

11121122010300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12109 (or 12102 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11121122010300 its reverse (301022112111), we get a palindrome (11422144122411).

The spelling of 11121122010300 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-two million, ten thousand, three hundred".