1100110100020 has 96 divisors (see below), whose sum is σ = 2478470762880. Its totient is φ = 408891824640.

The previous prime is 1100110099961. The next prime is 1100110100051. The reversal of 1100110100020 is 200010110011.

It is a junction number, because it is equal to n+sod(n) for n = 1100110099976 and 1100110100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88065975 + ... + 88078465.

It is an arithmetic number, because the mean of its divisors is an integer number (25817403780).

Almost surely, 2^{1100110100020} is an apocalyptic number.

1100110100020 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 1100110100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239235381440).

1100110100020 is an abundant number, since it is smaller than the sum of its proper divisors (1378360662860).

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

1100110100020 is a wasteful number, since it uses less digits than its factorization.

1100110100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16945 (or 16943 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1100110100020 its reverse (200010110011), we get a palindrome (1300120210031).

Subtracting from 1100110100020 its reverse (200010110011), we obtain a palindrome (900099990009).

The spelling of 1100110100020 in words is "one trillion, one hundred billion, one hundred ten million, one hundred thousand, twenty".