2021200002000 has 240 divisors, whose sum is σ = 7088685112080. Its totient is φ = 536749056000.

The previous prime is 2021200001941. The next prime is 2021200002007. The reversal of 2021200002000 is 2000021202.

It can be written as a sum of positive squares in 8 ways, for example, as 1033410498624 + 987789503376 = 1016568^2 + 993876^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021200002007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4105036 + ... + 4570964.

It is an arithmetic number, because the mean of its divisors is an integer number (29536187967).

Almost surely, 2^{2021200002000} is an apocalyptic number.

2021200002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544342556040).

2021200002000 is an abundant number, since it is smaller than the sum of its proper divisors (5067485110080).

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

2021200002000 is a wasteful number, since it uses less digits than its factorization.

2021200002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466199 (or 466180 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2021200002000 its reverse (2000021202), we get a palindrome (2023200023202).

The spelling of 2021200002000 in words is "two trillion, twenty-one billion, two hundred million, two thousand".