1001441100 has 144 divisors (see below), whose sum is σ = 3347035776. Its totient is φ = 228480000.

The previous prime is 1001441071. The next prime is 1001441107. The reversal of 1001441100 is 11441001.

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

It is not an unprimeable number, because it can be changed into a prime (1001441107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47175 + ... + 65025.

It is an arithmetic number, because the mean of its divisors is an integer number (23243304).

Almost surely, 2^1001441100 is an apocalyptic number.

1001441100 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 1001441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673517888).

1001441100 is an abundant number, since it is smaller than the sum of its proper divisors (2345594676).

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

1001441100 is a wasteful number, since it uses less digits than its factorization.

1001441100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17896 (or 17889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1001441100 is about 31645.5541901228. The cubic root of 1001441100 is about 1000.4801360991.

Adding to 1001441100 its reverse (11441001), we get a palindrome (1012882101).

Subtracting from 1001441100 its reverse (11441001), we obtain a palindrome (990000099).

The spelling of 1001441100 in words is "one billion, one million, four hundred forty-one thousand, one hundred".