2000110001000 has 64 divisors (see below), whose sum is σ = 4688909793360. Its totient is φ = 798564960000.

The previous prime is 2000110000963. The next prime is 2000110001009. The reversal of 2000110001000 is 1000110002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 126808634404 + 1873301366596 = 356102^2 + 1368686^2 .

It is a super-2 number, since 2×2000110001000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (2000110001009) 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 15 ways as a sum of consecutive naturals, for example, 1307531 + ... + 2389530.

Almost surely, 2^{2000110001000} is an apocalyptic number.

2000110001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000110001000 is an abundant number, since it is smaller than the sum of its proper divisors (2688799792360).

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

2000110001000 is a wasteful number, since it uses less digits than its factorization.

2000110001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697623 (or 3697609 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2000110001000 its reverse (1000110002), we get a palindrome (2001110111002).

The spelling of 2000110001000 in words is "two trillion, one hundred ten million, one thousand".