210020000000000 has 264 divisors, whose sum is σ = 524971791006390. Its totient is φ = 84000000000000.

The previous prime is 210019999999981. The next prime is 210020000000009. The reversal of 210020000000000 is 20012.

It can be written as a sum of positive squares in 11 ways, for example, as 26443948647424 + 183576051352576 = 5142368^2 + 13549024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (210020000000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 19999994750 + ... + 20000005250.

Almost surely, 2^{210020000000000} is an apocalyptic number.

210020000000000 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 210020000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262485895503195).

210020000000000 is an abundant number, since it is smaller than the sum of its proper divisors (314951791006390).

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

210020000000000 is an frugal number, since it uses more digits than its factorization.

210020000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10573 (or 10508 counting only the distinct ones).

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

Adding to 210020000000000 its reverse (20012), we get a palindrome (210020000020012).

The spelling of 210020000000000 in words is "two hundred ten trillion, twenty billion", and thus it is an aban number.