1002200202000 has 400 divisors, whose sum is σ = 3622993374000. Its totient is φ = 267034060800.

The previous prime is 1002200201999. The next prime is 1002200202001. The reversal of 1002200202000 is 2020022001.

It is an interprime number because it is at equal distance from previous prime (1002200201999) and next prime (1002200202001).

It can be written as a sum of positive squares in 8 ways, for example, as 215934937344 + 786265264656 = 464688^2 + 886716^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002200202001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328696476 + ... + 328699524.

It is an arithmetic number, because the mean of its divisors is an integer number (9057483435).

Almost surely, 2^{1002200202000} is an apocalyptic number.

1002200202000 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 1002200202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811496687000).

1002200202000 is an abundant number, since it is smaller than the sum of its proper divisors (2620793172000).

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

1002200202000 is a wasteful number, since it uses less digits than its factorization.

1002200202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1002200202000 its reverse (2020022001), we get a palindrome (1004220224001).

The spelling of 1002200202000 in words is "one trillion, two billion, two hundred million, two hundred two thousand".