202120200000 has 252 divisors, whose sum is σ = 724136425740. Its totient is φ = 53898240000.

The previous prime is 202120199977. The next prime is 202120200047. The reversal of 202120200000 is 2021202.

It can be written as a sum of positive squares in 6 ways, for example, as 98214545664 + 103905654336 = 313392^2 + 322344^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1743856 + ... + 1856144.

It is an arithmetic number, because the mean of its divisors is an integer number (2873557245).

Almost surely, 2^202120200000 is an apocalyptic number.

202120200000 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 202120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362068212870).

202120200000 is an abundant number, since it is smaller than the sum of its proper divisors (522016225740).

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

202120200000 is an equidigital number, since it uses as much as digits as its factorization.

202120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112332 (or 112299 counting only the distinct ones).

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

Adding to 202120200000 its reverse (2021202), we get a palindrome (202122221202).

202120200000 divided by its reverse (2021202) gives a 5-th power (100000 = 10⁵).

The spelling of 202120200000 in words is "two hundred two billion, one hundred twenty million, two hundred thousand".