11101301200 has 240 divisors, whose sum is σ = 29835590400. Its totient is φ = 3935692800.

The previous prime is 11101301191. The next prime is 11101301203. The reversal of 11101301200 is 210310111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101301203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37888254 + ... + 37888546.

It is an arithmetic number, because the mean of its divisors is an integer number (124314960).

Almost surely, 2^11101301200 is an apocalyptic number.

11101301200 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 11101301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917795200).

11101301200 is an abundant number, since it is smaller than the sum of its proper divisors (18734289200).

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

11101301200 is a wasteful number, since it uses less digits than its factorization.

11101301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

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

Adding to 11101301200 its reverse (210310111), we get a palindrome (11311611311).

The spelling of 11101301200 in words is "eleven billion, one hundred one million, three hundred one thousand, two hundred".