200102010020000 has 720 divisors, whose sum is σ = 555459399151272. Its totient is φ = 70857600000000.

The previous prime is 200102010019997. The next prime is 200102010020021. The reversal of 200102010020000 is 20010201002.

It can be written as a sum of positive squares in 20 ways, for example, as 32373505411984 + 167728504608016 = 5689772^2 + 12951004^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 200102010020000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14909613290 + ... + 14909626710.

Almost surely, 2^{200102010020000} is an apocalyptic number.

200102010020000 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 200102010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277729699575636).

200102010020000 is an abundant number, since it is smaller than the sum of its proper divisors (355357389131272).

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

200102010020000 is a wasteful number, since it uses less digits than its factorization.

200102010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13635 (or 13601 counting only the distinct ones).

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

Adding to 200102010020000 its reverse (20010201002), we get a palindrome (200122020221002).

200102010020000 divided by its reverse (20010201002) gives a 4-th power (10000 = 10⁴).

The spelling of 200102010020000 in words is "two hundred trillion, one hundred two billion, ten million, twenty thousand".