11020110112100 has 108 divisors (see below), whose sum is σ = 25406585293740. Its totient is φ = 4148173209600.

The previous prime is 11020110112097. The next prime is 11020110112111. The reversal of 11020110112100 is 121101102011.

11020110112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 10286952899584 + 733157212516 = 3207328^2 + 856246^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249702836 + ... + 249746964.

Almost surely, 2^{11020110112100} is an apocalyptic number.

11020110112100 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 11020110112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703292646870).

11020110112100 is an abundant number, since it is smaller than the sum of its proper divisors (14386475181640).

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

11020110112100 is a wasteful number, since it uses less digits than its factorization.

11020110112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52818 (or 52794 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11020110112100 its reverse (121101102011), we get a palindrome (11141211214111).

The spelling of 11020110112100 in words is "eleven trillion, twenty billion, one hundred ten million, one hundred twelve thousand, one hundred".