2011100220 has 288 divisors, whose sum is σ = 6891655680. Its totient is φ = 472158720.

The previous prime is 2011100219. The next prime is 2011100237. The reversal of 2011100220 is 220011102.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 2910075 + ... + 2910765.

It is an arithmetic number, because the mean of its divisors is an integer number (23929360).

Almost surely, 2^2011100220 is an apocalyptic number.

2011100220 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 2011100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445827840).

2011100220 is an abundant number, since it is smaller than the sum of its proper divisors (4880555460).

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

2011100220 is a wasteful number, since it uses less digits than its factorization.

2011100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011100220 is about 44845.2920605943. The cubic root of 2011100220 is about 1262.2476510309.

Adding to 2011100220 its reverse (220011102), we get a palindrome (2231111322).

The spelling of 2011100220 in words is "two billion, eleven million, one hundred thousand, two hundred twenty".