1002020221000 has 256 divisors, whose sum is σ = 2417251000320. Its totient is φ = 388644480000.

The previous prime is 1002020220983. The next prime is 1002020221009. The reversal of 1002020221000 is 1220202001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1002020221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1634616694 + ... + 1634617306.

It is an arithmetic number, because the mean of its divisors is an integer number (9442386720).

Almost surely, 2^{1002020221000} is an apocalyptic number.

1002020221000 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 1002020221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208625500160).

1002020221000 is an abundant number, since it is smaller than the sum of its proper divisors (1415230779320).

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

1002020221000 is a wasteful number, since it uses less digits than its factorization.

1002020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002020221000 its reverse (1220202001), we get a palindrome (1003240423001).

The spelling of 1002020221000 in words is "one trillion, two billion, twenty million, two hundred twenty-one thousand".