11100001221020 has 144 divisors (see below), whose sum is σ = 25678469311488. Its totient is φ = 4022269004160.

The previous prime is 11100001221007. The next prime is 11100001221041. The reversal of 11100001221020 is 2012210000111.

It is a junction number, because it is equal to n+sod(n) for n = 11100001220992 and 11100001221010.

It is a congruent number.

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, 748425005 + ... + 748439835.

It is an arithmetic number, because the mean of its divisors is an integer number (178322703552).

Almost surely, 2^{11100001221020} is an apocalyptic number.

11100001221020 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 11100001221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12839234655744).

11100001221020 is an abundant number, since it is smaller than the sum of its proper divisors (14578468090468).

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

11100001221020 is a wasteful number, since it uses less digits than its factorization.

11100001221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19408 (or 19387 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11100001221020 its reverse (2012210000111), we get a palindrome (13112211221131).

The spelling of 11100001221020 in words is "eleven trillion, one hundred billion, one million, two hundred twenty-one thousand, twenty".