200020101002000 has 40 divisors (see below), whose sum is σ = 483648604227672. Its totient is φ = 80008040400000.

The previous prime is 200020101001969. The next prime is 200020101002003. The reversal of 200020101002000 is 200101020002.

200020101002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 847961039104 + 199172139962896 = 920848^2 + 14112836^2 .

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 (8).

It is not an unprimeable number, because it can be changed into a prime (200020101002003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50005023251 + ... + 50005027250.

Almost surely, 2^{200020101002000} is an apocalyptic number.

200020101002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200020101002000 is an abundant number, since it is smaller than the sum of its proper divisors (283628503225672).

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

200020101002000 is a wasteful number, since it uses less digits than its factorization.

200020101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100010050524 (or 100010050508 counting only the distinct ones).

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

Adding to 200020101002000 its reverse (200101020002), we get a palindrome (200220202022002).

The spelling of 200020101002000 in words is "two hundred trillion, twenty billion, one hundred one million, two thousand".