1100013220020 has 384 divisors, whose sum is σ = 3897654018048. Its totient is φ = 227857766400.

The previous prime is 1100013219979. The next prime is 1100013220057. The reversal of 1100013220020 is 200223100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100013219978 and 1100013220005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6027634 + ... + 6207446.

It is an arithmetic number, because the mean of its divisors is an integer number (10150140672).

Almost surely, 2^{1100013220020} is an apocalyptic number.

1100013220020 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 1100013220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948827009024).

1100013220020 is an abundant number, since it is smaller than the sum of its proper divisors (2797640798028).

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

1100013220020 is a wasteful number, since it uses less digits than its factorization.

1100013220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179903 (or 179901 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1100013220020 its reverse (200223100011), we get a palindrome (1300236320031).

The spelling of 1100013220020 in words is "one trillion, one hundred billion, thirteen million, two hundred twenty thousand, twenty".