11102100 has 72 divisors (see below), whose sum is σ = 33539520. Its totient is φ = 2830080.

The previous prime is 11102087. The next prime is 11102131. The reversal of 11102100 is 120111.

11102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 6096 + ... + 7704.

Almost surely, 2^11102100 is an apocalyptic number.

11102100 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 11102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769760).

11102100 is an abundant number, since it is smaller than the sum of its proper divisors (22437420).

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

11102100 is a wasteful number, since it uses less digits than its factorization.

11102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11102100 is about 3331.9813925051. The cubic root of 11102100 is about 223.0839770323.

Adding to 11102100 its reverse (120111), we get a palindrome (11222211).

The spelling of 11102100 in words is "eleven million, one hundred two thousand, one hundred".