2001092100 has 144 divisors (see below), whose sum is σ = 7006301568. Its totient is φ = 430479360.

The previous prime is 2001092081. The next prime is 2001092111. The reversal of 2001092100 is 12901002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001092100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7674 + ... + 63726.

It is an arithmetic number, because the mean of its divisors is an integer number (48654872).

Almost surely, 2^2001092100 is an apocalyptic number.

2001092100 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 2001092100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503150784).

2001092100 is an abundant number, since it is smaller than the sum of its proper divisors (5005209468).

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

2001092100 is a wasteful number, since it uses less digits than its factorization.

2001092100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56094 (or 56087 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2001092100 is about 44733.5679328175. The cubic root of 2001092100 is about 1260.1503347960.

Adding to 2001092100 its reverse (12901002), we get a palindrome (2013993102).

The spelling of 2001092100 in words is "two billion, one million, ninety-two thousand, one hundred".