11103332101020 has 384 divisors, whose sum is σ = 35357587641600. Its totient is φ = 2892056887296.

The previous prime is 11103332100941. The next prime is 11103332101049. The reversal of 11103332101020 is 2010123330111.

11103332101020 is a `hidden beast` number, since 1 + 110 + 333 + 210 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11103332100984 and 11103332101002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1742242554 + ... + 1742248926.

It is an arithmetic number, because the mean of its divisors is an integer number (92077051150).

Almost surely, 2^{11103332101020} is an apocalyptic number.

11103332101020 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 11103332101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678793820800).

11103332101020 is an abundant number, since it is smaller than the sum of its proper divisors (24254255540580).

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

11103332101020 is a wasteful number, since it uses less digits than its factorization.

11103332101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11103332101020 its reverse (2010123330111), we get a palindrome (13113455431131).

The spelling of 11103332101020 in words is "eleven trillion, one hundred three billion, three hundred thirty-two million, one hundred one thousand, twenty".