11121021011100 has 288 divisors, whose sum is σ = 43202445866496. Its totient is φ = 2133102873600.

The previous prime is 11121021011057. The next prime is 11121021011123. The reversal of 11121021011100 is 111012012111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18216219 + ... + 18816818.

It is an arithmetic number, because the mean of its divisors is an integer number (150008492592).

Almost surely, 2^{11121021011100} is an apocalyptic number.

11121021011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121021011100 is an abundant number, since it is smaller than the sum of its proper divisors (32081424855396).

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

11121021011100 is a wasteful number, since it uses less digits than its factorization.

11121021011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37033085 (or 37033078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11121021011100 its reverse (111012012111), we get a palindrome (11232033023211).

The spelling of 11121021011100 in words is "eleven trillion, one hundred twenty-one billion, twenty-one million, eleven thousand, one hundred".