11201200101300 has 288 divisors, whose sum is σ = 35724437489664. Its totient is φ = 2687101760000.

The previous prime is 11201200101293. The next prime is 11201200101391. The reversal of 11201200101300 is 310100210211.

It is a super-3 number, since 3×11201200101300³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 695589049 + ... + 695605151.

It is an arithmetic number, because the mean of its divisors is an integer number (124043185728).

Almost surely, 2^{11201200101300} is an apocalyptic number.

11201200101300 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 11201200101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862218744832).

11201200101300 is an abundant number, since it is smaller than the sum of its proper divisors (24523237388364).

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

11201200101300 is a wasteful number, since it uses less digits than its factorization.

11201200101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18319 (or 18312 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11201200101300 its reverse (310100210211), we get a palindrome (11511300311511).

The spelling of 11201200101300 in words is "eleven trillion, two hundred one billion, two hundred million, one hundred one thousand, three hundred".