1101020800 has 192 divisors, whose sum is σ = 3065875200. Its totient is φ = 387072000.

The previous prime is 1101020783. The next prime is 1101020909. The reversal of 1101020800 is 80201011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090696 + ... + 1091704.

It is an arithmetic number, because the mean of its divisors is an integer number (15968100).

Almost surely, 2^1101020800 is an apocalyptic number.

1101020800 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 1101020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532937600).

1101020800 is an abundant number, since it is smaller than the sum of its proper divisors (1964854400).

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

1101020800 is a wasteful number, since it uses less digits than its factorization.

1101020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1101020800 is about 33181.6334739566. The cubic root of 1101020800 is about 1032.5993353804.

Adding to 1101020800 its reverse (80201011), we get a palindrome (1181221811).

The spelling of 1101020800 in words is "one billion, one hundred one million, twenty thousand, eight hundred".