11201102021200 has 1440 divisors, whose sum is σ = 35620440145920. Its totient is φ = 3351998361600.

The previous prime is 11201102021191. The next prime is 11201102021269. The reversal of 11201102021200 is 212020110211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58644513105 + ... + 58644513295.

It is an arithmetic number, because the mean of its divisors is an integer number (24736416768).

Almost surely, 2^{11201102021200} is an apocalyptic number.

11201102021200 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 11201102021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17810220072960).

11201102021200 is an abundant number, since it is smaller than the sum of its proper divisors (24419338124720).

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

11201102021200 is a wasteful number, since it uses less digits than its factorization.

11201102021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11201102021200 its reverse (212020110211), we get a palindrome (11413122131411).

The spelling of 11201102021200 in words is "eleven trillion, two hundred one billion, one hundred two million, twenty-one thousand, two hundred".