2001009100 has 36 divisors (see below), whose sum is σ = 4448105928. Its totient is φ = 780880000.

The previous prime is 2001009053. The next prime is 2001009113. The reversal of 2001009100 is 19001002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239926 + ... + 248125.

It is an arithmetic number, because the mean of its divisors is an integer number (123558498).

Almost surely, 2^2001009100 is an apocalyptic number.

2001009100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001009100 is an abundant number, since it is smaller than the sum of its proper divisors (2447096828).

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

2001009100 is a wasteful number, since it uses less digits than its factorization.

2001009100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488106 (or 488099 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2001009100 is about 44732.6402082417. The cubic root of 2001009100 is about 1260.1329119891.

The spelling of 2001009100 in words is "two billion, one million, nine thousand, one hundred".