202120041020 has 24 divisors (see below), whose sum is σ = 424465423200. Its totient is φ = 80845476032.

The previous prime is 202120040999. The next prime is 202120041037. The reversal of 202120041020 is 20140021202.

202120041020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×202120041020³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202120040986 and 202120041004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576746 + ... + 858414.

It is an arithmetic number, because the mean of its divisors is an integer number (17686059300).

Almost surely, 2^202120041020 is an apocalyptic number.

202120041020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120041020 is an abundant number, since it is smaller than the sum of its proper divisors (222345382180).

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

202120041020 is a wasteful number, since it uses less digits than its factorization.

202120041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317557 (or 317555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202120041020 its reverse (20140021202), we get a palindrome (222260062222).

The spelling of 202120041020 in words is "two hundred two billion, one hundred twenty million, forty-one thousand, twenty".