2001332100 has 72 divisors (see below), whose sum is σ = 5977339648. Its totient is φ = 516470400.

The previous prime is 2001332087. The next prime is 2001332117. The reversal of 2001332100 is 12331002.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 98299 + ... + 116898.

Almost surely, 2^2001332100 is an apocalyptic number.

2001332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001332100 is an abundant number, since it is smaller than the sum of its proper divisors (3976007548).

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

2001332100 is a wasteful number, since it uses less digits than its factorization.

2001332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215245 (or 215238 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2001332100 is about 44736.2504016597. The cubic root of 2001332100 is about 1260.2007112863.

Adding to 2001332100 its reverse (12331002), we get a palindrome (2013663102).

The spelling of 2001332100 in words is "two billion, one million, three hundred thirty-two thousand, one hundred".