2001102001000 has 32 divisors (see below), whose sum is σ = 4682578684680. Its totient is φ = 800440800000.

The previous prime is 2001102000941. The next prime is 2001102001007. The reversal of 2001102001000 is 1002011002.

It can be written as a sum of positive squares in 4 ways, for example, as 156976024804 + 1844125976196 = 396202^2 + 1357986^2 .

It is not an unprimeable number, because it can be changed into a prime (2001102001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000550001 + ... + 1000552000.

Almost surely, 2^{2001102001000} is an apocalyptic number.

2001102001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001102001000 is an abundant number, since it is smaller than the sum of its proper divisors (2681476683680).

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

2001102001000 is a wasteful number, since it uses less digits than its factorization.

2001102001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001102022 (or 2001102008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2001102001000 its reverse (1002011002), we get a palindrome (2002104012002).

The spelling of 2001102001000 in words is "two trillion, one billion, one hundred two million, one thousand".