1002200120020 has 36 divisors (see below), whose sum is σ = 2313342927252. Its totient is φ = 364436406400.

The previous prime is 1002200120011. The next prime is 1002200120027. The reversal of 1002200120020 is 200210022001.

It can be written as a sum of positive squares in 2 ways, for example, as 756346781124 + 245853338896 = 869682^2 + 495836^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1002200119979 and 1002200120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002200120027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207063721 + ... + 207068560.

It is an arithmetic number, because the mean of its divisors is an integer number (64259525757).

Almost surely, 2^{1002200120020} is an apocalyptic number.

1002200120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002200120020 is an abundant number, since it is smaller than the sum of its proper divisors (1311142807232).

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

1002200120020 is a wasteful number, since it uses less digits than its factorization.

1002200120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414132312 (or 414132299 counting only the distinct ones).

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

Adding to 1002200120020 its reverse (200210022001), we get a palindrome (1202410142021).

The spelling of 1002200120020 in words is "one trillion, two billion, two hundred million, one hundred twenty thousand, twenty".