11121011202100 has 72 divisors (see below), whose sum is σ = 25094105046360. Its totient is φ = 4272757063680.

The previous prime is 11121011202089. The next prime is 11121011202127. The reversal of 11121011202100 is 120211012111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5437002100644 + 5684009101456 = 2331738^2 + 2384116^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9375097 + ... + 10494496.

It is an arithmetic number, because the mean of its divisors is an integer number (348529236755).

Almost surely, 2^{11121011202100} is an apocalyptic number.

11121011202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121011202100 is an abundant number, since it is smaller than the sum of its proper divisors (13973093844260).

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

11121011202100 is a wasteful number, since it uses less digits than its factorization.

11121011202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19869829 (or 19869822 counting only the distinct ones).

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

Adding to 11121011202100 its reverse (120211012111), we get a palindrome (11241222214211).

The spelling of 11121011202100 in words is "eleven trillion, one hundred twenty-one billion, eleven million, two hundred two thousand, one hundred".