11011121200100 has 72 divisors (see below), whose sum is σ = 27396530884800. Its totient is φ = 3762944277120.

The previous prime is 11011121200087. The next prime is 11011121200103. The reversal of 11011121200100 is 100212111011.

It is not an unprimeable number, because it can be changed into a prime (11011121200103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25404275 + ... + 25834074.

It is an arithmetic number, because the mean of its divisors is an integer number (380507373400).

Almost surely, 2^{11011121200100} is an apocalyptic number.

11011121200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011121200100 is an abundant number, since it is smaller than the sum of its proper divisors (16385409684700).

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

11011121200100 is a wasteful number, since it uses less digits than its factorization.

11011121200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51238677 (or 51238670 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11011121200100 its reverse (100212111011), we get a palindrome (11111333311111).

The spelling of 11011121200100 in words is "eleven trillion, eleven billion, one hundred twenty-one million, two hundred thousand, one hundred".