11121011110300 has 288 divisors, whose sum is σ = 30300640634880. Its totient is φ = 3449232460800.

The previous prime is 11121011110289. The next prime is 11121011110309. The reversal of 11121011110300 is 301111012111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121011110309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107847166 + ... + 107950234.

It is an arithmetic number, because the mean of its divisors is an integer number (105210557760).

Almost surely, 2^{11121011110300} is an apocalyptic number.

11121011110300 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 11121011110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15150320317440).

11121011110300 is an abundant number, since it is smaller than the sum of its proper divisors (19179629524580).

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

11121011110300 is a wasteful number, since it uses less digits than its factorization.

11121011110300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103341 (or 103334 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 11121011110300 its reverse (301111012111), we get a palindrome (11422122122411).

The spelling of 11121011110300 in words is "eleven trillion, one hundred twenty-one billion, eleven million, one hundred ten thousand, three hundred".