2002110000020 has 96 divisors (see below), whose sum is σ = 4639580225280. Its totient is φ = 721008829440.

The previous prime is 2002110000017. The next prime is 2002110000047. The reversal of 2002110000020 is 200000112002.

It is a junction number, because it is equal to n+sod(n) for n = 2002109999962 and 2002110000007.

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 31 ways as a sum of consecutive naturals, for example, 41155271 + ... + 41203889.

It is an arithmetic number, because the mean of its divisors is an integer number (48328960680).

Almost surely, 2^{2002110000020} is an apocalyptic number.

2002110000020 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 2002110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319790112640).

2002110000020 is an abundant number, since it is smaller than the sum of its proper divisors (2637470225260).

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

2002110000020 is a wasteful number, since it uses less digits than its factorization.

2002110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52545 (or 52543 counting only the distinct ones).

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

Adding to 2002110000020 its reverse (200000112002), we get a palindrome (2202110112022).

The spelling of 2002110000020 in words is "two trillion, two billion, one hundred ten million, twenty", and thus it is an aban number.