11201100110020 has 24 divisors (see below), whose sum is σ = 24333424378200. Its totient is φ = 4325942111232.

The previous prime is 11201100110017. The next prime is 11201100110047. The reversal of 11201100110020 is 2001100110211.

It can be written as a sum of positive squares in 4 ways, for example, as 5062891716 + 11196037218304 = 71154^2 + 3346048^2 .

It is a super-2 number, since 2×11201100110020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11201100109979 and 11201100110006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9656120205 + ... + 9656121364.

It is an arithmetic number, because the mean of its divisors is an integer number (1013892682425).

Almost surely, 2^{11201100110020} is an apocalyptic number.

11201100110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201100110020 is an abundant number, since it is smaller than the sum of its proper divisors (13132324268180).

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

11201100110020 is a wasteful number, since it uses less digits than its factorization.

11201100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312241607 (or 19312241605 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11201100110020 its reverse (2001100110211), we get a palindrome (13202200220231).

The spelling of 11201100110020 in words is "eleven trillion, two hundred one billion, one hundred million, one hundred ten thousand, twenty".