1100200102020 has 144 divisors (see below), whose sum is σ = 3534616573488. Its totient is φ = 276047953920.

The previous prime is 1100200102007. The next prime is 1100200102061. The reversal of 1100200102020 is 202010020011.

It can be written as a sum of positive squares in 8 ways, for example, as 95811297156 + 1004388804864 = 309534^2 + 1002192^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100200101993 and 1100200102011.

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, 10784692 + ... + 10886228.

It is an arithmetic number, because the mean of its divisors is an integer number (24545948427).

Almost surely, 2^{1100200102020} is an apocalyptic number.

1100200102020 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 1100200102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767308286744).

1100200102020 is an abundant number, since it is smaller than the sum of its proper divisors (2434416471468).

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

1100200102020 is a wasteful number, since it uses less digits than its factorization.

1100200102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105110 (or 105105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1100200102020 its reverse (202010020011), we get a palindrome (1302210122031).

The spelling of 1100200102020 in words is "one trillion, one hundred billion, two hundred million, one hundred two thousand, twenty".