11300101321200 has 480 divisors, whose sum is σ = 38247953760000. Its totient is φ = 2843940741120.

The previous prime is 11300101321177. The next prime is 11300101321211. The reversal of 11300101321200 is 212310100311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11300101321200.

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, 13631002386 + ... + 13631003214.

It is an arithmetic number, because the mean of its divisors is an integer number (79683237000).

Almost surely, 2^{11300101321200} is an apocalyptic number.

11300101321200 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 11300101321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123976880000).

11300101321200 is an abundant number, since it is smaller than the sum of its proper divisors (26947852438800).

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

11300101321200 is a wasteful number, since it uses less digits than its factorization.

11300101321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11300101321200 its reverse (212310100311), we get a palindrome (11512411421511).

The spelling of 11300101321200 in words is "eleven trillion, three hundred billion, one hundred one million, three hundred twenty-one thousand, two hundred".