11201000021200 has 120 divisors (see below), whose sum is σ = 29360967045696. Its totient is φ = 4072513152000.

The previous prime is 11201000021153. The next prime is 11201000021203. The reversal of 11201000021200 is 212000010211.

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 (11201000021203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31472245 + ... + 31826155.

Almost surely, 2^{11201000021200} is an apocalyptic number.

11201000021200 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 11201000021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680483522848).

11201000021200 is an abundant number, since it is smaller than the sum of its proper divisors (18159967024496).

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

11201000021200 is a wasteful number, since it uses less digits than its factorization.

11201000021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361133 (or 361122 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11201000021200 its reverse (212000010211), we get a palindrome (11413000031411).

The spelling of 11201000021200 in words is "eleven trillion, two hundred one billion, twenty-one thousand, two hundred".