11150065201100 has 288 divisors, whose sum is σ = 31401285189120. Its totient is φ = 3344318115840.

The previous prime is 11150065201069. The next prime is 11150065201169. The reversal of 11150065201100 is 110256005111.

11150065201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11518067 + ... + 12448533.

It is an arithmetic number, because the mean of its divisors is an integer number (109032240240).

Almost surely, 2^{11150065201100} is an apocalyptic number.

11150065201100 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 11150065201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700642594560).

11150065201100 is an abundant number, since it is smaller than the sum of its proper divisors (20251219988020).

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

11150065201100 is a wasteful number, since it uses less digits than its factorization.

11150065201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930577 (or 930570 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 23.

The spelling of 11150065201100 in words is "eleven trillion, one hundred fifty billion, sixty-five million, two hundred one thousand, one hundred".