11031100201120 has 144 divisors (see below), whose sum is σ = 26428412301480. Its totient is φ = 4350543740928.

The previous prime is 11031100201087. The next prime is 11031100201133. The reversal of 11031100201120 is 2110200113011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9762350274576 + 1268749926544 = 3124476^2 + 1126388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11031100201120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2045445144 + ... + 2045450536.

Almost surely, 2^{11031100201120} is an apocalyptic number.

11031100201120 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 11031100201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214206150740).

11031100201120 is an abundant number, since it is smaller than the sum of its proper divisors (15397312100360).

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

11031100201120 is an frugal number, since it uses more digits than its factorization.

11031100201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11031100201120 its reverse (2110200113011), we get a palindrome (13141300314131).

The spelling of 11031100201120 in words is "eleven trillion, thirty-one billion, one hundred million, two hundred one thousand, one hundred twenty".