2001104100 has 54 divisors (see below), whose sum is σ = 6272352450. Its totient is φ = 533627520.

The previous prime is 2001104099. The next prime is 2001104107. The reversal of 2001104100 is 14011002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 295083684 + 1706020416 = 17178^2 + 41304^2 .

It is a super-4 number, since 4×2001104100⁴ (a number of 38 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2001104107) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1110825 + ... + 1112624.

It is an arithmetic number, because the mean of its divisors is an integer number (116154675).

Almost surely, 2^2001104100 is an apocalyptic number.

2001104100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001104100 is an abundant number, since it is smaller than the sum of its proper divisors (4271248350).

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

2001104100 is a wasteful number, since it uses less digits than its factorization.

2001104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223469 (or 2223459 counting only the distinct ones).

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

The square root of 2001104100 is about 44733.7020600799. The cubic root of 2001104100 is about 1260.1528537162.

Adding to 2001104100 its reverse (14011002), we get a palindrome (2015115102).

The spelling of 2001104100 in words is "two billion, one million, one hundred four thousand, one hundred".