2000010001000 has 64 divisors (see below), whose sum is σ = 5105480103360. Its totient is φ = 727276360000.

The previous prime is 2000010000899. The next prime is 2000010001009. The reversal of 2000010001000 is 1000100002.

It is a Harshad number since it is a multiple of its sum of digits (4).

2000010001000 is a modest number, since divided by 10001000 gives 20000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2000010001009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90898546 + ... + 90920545.

It is an arithmetic number, because the mean of its divisors is an integer number (79773126615).

Almost surely, 2^{2000010001000} is an apocalyptic number.

2000010001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000010001000 is an abundant number, since it is smaller than the sum of its proper divisors (3105470102360).

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

2000010001000 is a wasteful number, since it uses less digits than its factorization.

2000010001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181819123 (or 181819109 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 2000010001000 its reverse (1000100002), we get a palindrome (2001010101002).

The spelling of 2000010001000 in words is "two trillion, ten million, one thousand".