200201010002020 has 24 divisors (see below), whose sum is σ = 424279204687800. Its totient is φ = 79345721394432.

The previous prime is 200201010002003. The next prime is 200201010002033. The reversal of 200201010002020 is 20200010102002.

It can be written as a sum of positive squares in 4 ways, for example, as 83602348738624 + 116598661263396 = 9143432^2 + 10798086^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200201010001988 and 200201010002006.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45917660665 + ... + 45917665024.

It is an arithmetic number, because the mean of its divisors is an integer number (17678300195325).

Almost surely, 2^{200201010002020} is an apocalyptic number.

200201010002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201010002020 is an abundant number, since it is smaller than the sum of its proper divisors (224078194685780).

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

200201010002020 is a wasteful number, since it uses less digits than its factorization.

200201010002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91835325807 (or 91835325805 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200201010002020 its reverse (20200010102002), we get a palindrome (220401020104022).

The spelling of 200201010002020 in words is "two hundred trillion, two hundred one billion, ten million, two thousand, twenty".