11201121100 has 36 divisors (see below), whose sum is σ = 26176161424. Its totient is φ = 4135798080.

The previous prime is 11201121067. The next prime is 11201121119. The reversal of 11201121100 is 112110211.

11201121100 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 2×11201121100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 4306824 + ... + 4309423.

Almost surely, 2^11201121100 is an apocalyptic number.

11201121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201121100 is an abundant number, since it is smaller than the sum of its proper divisors (14975040324).

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

11201121100 is a wasteful number, since it uses less digits than its factorization.

11201121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616274 (or 8616267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11201121100 its reverse (112110211), we get a palindrome (11313231311).

The spelling of 11201121100 in words is "eleven billion, two hundred one million, one hundred twenty-one thousand, one hundred".