2001032100 has 126 divisors (see below), whose sum is σ = 6510618450. Its totient is φ = 533589120.

The previous prime is 2001032087. The next prime is 2001032129. The reversal of 2001032100 is 12301002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 276623424 + 1724408676 = 16632^2 + 41526^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 59176 + ... + 86624.

It is an arithmetic number, because the mean of its divisors is an integer number (51671575).

Almost surely, 2^2001032100 is an apocalyptic number.

2001032100 is a gapful number since it is divisible by the number (20) 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 2001032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255309225).

2001032100 is an abundant number, since it is smaller than the sum of its proper divisors (4509586350).

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

2001032100 is a wasteful number, since it uses less digits than its factorization.

2001032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27481 (or 27459 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2001032100 is about 44732.8972904729. The cubic root of 2001032100 is about 1260.1377400441.

Adding to 2001032100 its reverse (12301002), we get a palindrome (2013333102).

The spelling of 2001032100 in words is "two billion, one million, thirty-two thousand, one hundred".