1002120020200 has 96 divisors (see below), whose sum is σ = 2511826967160. Its totient is φ = 369619430400.

The previous prime is 1002120020197. The next prime is 1002120020287. The reversal of 1002120020200 is 20200212001.

It can be written as a sum of positive squares in 12 ways, for example, as 67328832484 + 934791187716 = 259478^2 + 966846^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2241802 + ... + 2651398.

Almost surely, 2^{1002120020200} is an apocalyptic number.

1002120020200 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 1002120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255913483580).

1002120020200 is an abundant number, since it is smaller than the sum of its proper divisors (1509706946960).

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

1002120020200 is a wasteful number, since it uses less digits than its factorization.

1002120020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410567 (or 410558 counting only the distinct ones).

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

Adding to 1002120020200 its reverse (20200212001), we get a palindrome (1022320232201).

The spelling of 1002120020200 in words is "one trillion, two billion, one hundred twenty million, twenty thousand, two hundred".