11201221111000 has 128 divisors (see below), whose sum is σ = 26589890995200. Its totient is φ = 4415898364800.

The previous prime is 11201221110931. The next prime is 11201221111103. The reversal of 11201221111000 is 11112210211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44351079 + ... + 44602921.

It is an arithmetic number, because the mean of its divisors is an integer number (207733523400).

Almost surely, 2^{11201221111000} is an apocalyptic number.

11201221111000 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 11201221111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294945497600).

11201221111000 is an abundant number, since it is smaller than the sum of its proper divisors (15388669884200).

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

11201221111000 is a wasteful number, since it uses less digits than its factorization.

11201221111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252506 (or 252492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11201221111000 its reverse (11112210211), we get a palindrome (11212333321211).

The spelling of 11201221111000 in words is "eleven trillion, two hundred one billion, two hundred twenty-one million, one hundred eleven thousand".