11001101220 has 144 divisors (see below), whose sum is σ = 34377361200. Its totient is φ = 2845559808.

The previous prime is 11001101197. The next prime is 11001101239. The reversal of 11001101220 is 2210110011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 116769636 + 10884331584 = 10806^2 + 104328^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2321974 + ... + 2326706.

It is an arithmetic number, because the mean of its divisors is an integer number (238731675).

Almost surely, 2^11001101220 is an apocalyptic number.

11001101220 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 11001101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188680600).

11001101220 is an abundant number, since it is smaller than the sum of its proper divisors (23376259980).

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

11001101220 is a wasteful number, since it uses less digits than its factorization.

11001101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11001101220 its reverse (2210110011), we get a palindrome (13211211231).

The spelling of 11001101220 in words is "eleven billion, one million, one hundred one thousand, two hundred twenty".