11300211100 has 72 divisors (see below), whose sum is σ = 26078174640. Its totient is φ = 4235473920.

The previous prime is 11300211077. The next prime is 11300211157. The reversal of 11300211100 is 111200311.

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

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, 374787 + ... + 403813.

It is an arithmetic number, because the mean of its divisors is an integer number (362196870).

Almost surely, 2^11300211100 is an apocalyptic number.

11300211100 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 11300211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13039087320).

11300211100 is an abundant number, since it is smaller than the sum of its proper divisors (14777963540).

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

11300211100 is a wasteful number, since it uses less digits than its factorization.

11300211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29287 (or 29280 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11300211100 its reverse (111200311), we get a palindrome (11411411411).

It can be divided in two parts, 11300211 and 100, that added together give a palindrome (11300311).

The spelling of 11300211100 in words is "eleven billion, three hundred million, two hundred eleven thousand, one hundred".