2011200221120 has 112 divisors (see below), whose sum is σ = 5078048345280. Its totient is φ = 756088356864.

The previous prime is 2011200221111. The next prime is 2011200221131. The reversal of 2011200221120 is 211220021102.

It is a junction number, because it is equal to n+sod(n) for n = 2011200221095 and 2011200221104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3596237 + ... + 4117683.

Almost surely, 2^{2011200221120} is an apocalyptic number.

2011200221120 is a gapful number since it is divisible by the number (20) 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 2011200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539024172640).

2011200221120 is an abundant number, since it is smaller than the sum of its proper divisors (3066848124160).

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

2011200221120 is a wasteful number, since it uses less digits than its factorization.

2011200221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522190 (or 522180 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011200221120 its reverse (211220021102), we get a palindrome (2222420242222).

The spelling of 2011200221120 in words is "two trillion, eleven billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".