2000100002000 has 40 divisors (see below), whose sum is σ = 4836241809672. Its totient is φ = 800040000000.

The previous prime is 2000100001943. The next prime is 2000100002041. The reversal of 2000100002000 is 2000010002.

It can be written as a sum of positive squares in 4 ways, for example, as 726625936 + 1999373376064 = 26956^2 + 1413992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500023001 + ... + 500027000.

Almost surely, 2^{2000100002000} is an apocalyptic number.

2000100002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000100002000 is an abundant number, since it is smaller than the sum of its proper divisors (2836141807672).

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

2000100002000 is a wasteful number, since it uses less digits than its factorization.

2000100002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000050024 (or 1000050008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 2000100002000 its reverse (2000010002), we get a palindrome (2002100012002).

The spelling of 2000100002000 in words is "two trillion, one hundred million, two thousand".