2001000202000 has 80 divisors (see below), whose sum is σ = 4917737124144. Its totient is φ = 787278720000.

The previous prime is 2001000201979. The next prime is 2001000202007. The reversal of 2001000202000 is 2020001002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1805561938944 + 195438263056 = 1343712^2 + 442084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2001000202007) 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, 8078821 + ... + 8322820.

Almost surely, 2^{2001000202000} is an apocalyptic number.

2001000202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001000202000 is an abundant number, since it is smaller than the sum of its proper divisors (2916736922144).

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

2001000202000 is a wasteful number, since it uses less digits than its factorization.

2001000202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16401725 (or 16401709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2001000202000 its reverse (2020001002), we get a palindrome (2003020203002).

The spelling of 2001000202000 in words is "two trillion, one billion, two hundred two thousand".