2001401100 has 108 divisors (see below), whose sum is σ = 6603509640. Its totient is φ = 505612800.

The previous prime is 2001401071. The next prime is 2001401107. The reversal of 2001401100 is 11041002.

It is a happy number.

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 (2001401107) 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 35 ways as a sum of consecutive naturals, for example, 41421 + ... + 75620.

Almost surely, 2^2001401100 is an apocalyptic number.

2001401100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001401100 is an abundant number, since it is smaller than the sum of its proper divisors (4602108540).

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

2001401100 is a wasteful number, since it uses less digits than its factorization.

2001401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117080 (or 117070 counting only the distinct ones).

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

The square root of 2001401100 is about 44737.0215816833. The cubic root of 2001401100 is about 1260.2151937819.

Adding to 2001401100 its reverse (11041002), we get a palindrome (2012442102).

The spelling of 2001401100 in words is "two billion, one million, four hundred one thousand, one hundred".