202020100000 has 288 divisors, whose sum is σ = 517921350912. Its totient is φ = 77500800000.

The previous prime is 202020099943. The next prime is 202020100019. The reversal of 202020100000 is 1020202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249099595 + ... + 249100405.

It is an arithmetic number, because the mean of its divisors is an integer number (1798338024).

Almost surely, 2^202020100000 is an apocalyptic number.

202020100000 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 202020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258960675456).

202020100000 is an abundant number, since it is smaller than the sum of its proper divisors (315901250912).

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

202020100000 is an frugal number, since it uses more digits than its factorization.

202020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 202020100000 its reverse (1020202), we get a palindrome (202021120202).

The spelling of 202020100000 in words is "two hundred two billion, twenty million, one hundred thousand".