11201021100 has 162 divisors, whose sum is σ = 36087484524. Its totient is φ = 2905891200.

The previous prime is 11201021093. The next prime is 11201021107. The reversal of 11201021100 is 112010211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11201021093) and next prime (11201021107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11201021107) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1227555 + ... + 1236645.

Almost surely, 2^11201021100 is an apocalyptic number.

11201021100 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 11201021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18043742262).

11201021100 is an abundant number, since it is smaller than the sum of its proper divisors (24886463424).

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

11201021100 is a wasteful number, since it uses less digits than its factorization.

11201021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9185 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11201021100 its reverse (112010211), we get a palindrome (11313031311).

11201021100 divided by its reverse (112010211) gives a square (100 = 10²).

The spelling of 11201021100 in words is "eleven billion, two hundred one million, twenty-one thousand, one hundred".