1002021020000 has 480 divisors, whose sum is σ = 3309880299264. Its totient is φ = 288288000000.

The previous prime is 1002021019939. The next prime is 1002021020081. The reversal of 1002021020000 is 201202001.

It is a super-2 number, since 2×1002021020000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1002021020000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19994975 + ... + 20045025.

Almost surely, 2^{1002021020000} is an apocalyptic number.

1002021020000 is a gapful number since it is divisible by the number (10) 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 1002021020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654940149632).

1002021020000 is an abundant number, since it is smaller than the sum of its proper divisors (2307859279264).

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

1002021020000 is a wasteful number, since it uses less digits than its factorization.

1002021020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50112 (or 50089 counting only the distinct ones).

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

Adding to 1002021020000 its reverse (201202001), we get a palindrome (1002222222001).

The spelling of 1002021020000 in words is "one trillion, two billion, twenty-one million, twenty thousand".