2002021000000 has 392 divisors, whose sum is σ = 5727785433408. Its totient is φ = 680064000000.

The previous prime is 2002020999997. The next prime is 2002021000037. The reversal of 2002021000000 is 1202002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 790998735 + ... + 791001265.

Almost surely, 2^{2002021000000} is an apocalyptic number.

2002021000000 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 2002021000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863892716704).

2002021000000 is an abundant number, since it is smaller than the sum of its proper divisors (3725764433408).

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

2002021000000 is an frugal number, since it uses more digits than its factorization.

2002021000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2658 counting only the distinct ones).

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

Adding to 2002021000000 its reverse (1202002), we get a palindrome (2002022202002).

The spelling of 2002021000000 in words is "two trillion, two billion, twenty-one million", and thus it is an aban number and an uban number.