2002020021020 has 288 divisors, whose sum is σ = 4663129540608. Its totient is φ = 719845023744.

The previous prime is 2002020021019. The next prime is 2002020021037. The reversal of 2002020021020 is 201200202002.

It is a junction number, because it is equal to n+sod(n) for n = 2002020020992 and 2002020021010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13436375906 + ... + 13436376054.

It is an arithmetic number, because the mean of its divisors is an integer number (16191422016).

Almost surely, 2^{2002020021020} is an apocalyptic number.

2002020021020 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 2002020021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331564770304).

2002020021020 is an abundant number, since it is smaller than the sum of its proper divisors (2661109519588).

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

2002020021020 is a wasteful number, since it uses less digits than its factorization.

2002020021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002020021020 its reverse (201200202002), we get a palindrome (2203220223022).

The spelling of 2002020021020 in words is "two trillion, two billion, twenty million, twenty-one thousand, twenty".