2001001109100 has 288 divisors, whose sum is σ = 6791490316800. Its totient is φ = 445329868800.

The previous prime is 2001001109057. The next prime is 2001001109111. The reversal of 2001001109100 is 19011001002.

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 2001001109100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43802071 + ... + 43847729.

It is an arithmetic number, because the mean of its divisors is an integer number (23581563600).

Almost surely, 2^{2001001109100} is an apocalyptic number.

2001001109100 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 2001001109100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395745158400).

2001001109100 is an abundant number, since it is smaller than the sum of its proper divisors (4790489207700).

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

2001001109100 is a wasteful number, since it uses less digits than its factorization.

2001001109100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46233 (or 46226 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 2001001109100 in words is "two trillion, one billion, one million, one hundred nine thousand, one hundred".