1002101200000 has 96 divisors (see below), whose sum is σ = 2495308141620. Its totient is φ = 400840320000.

The previous prime is 1002101199949. The next prime is 1002101200007. The reversal of 1002101200000 is 21012001.

It can be written as a sum of positive squares in 6 ways, for example, as 40807232064 + 961293967936 = 202008^2 + 980456^2 .

It is not an unprimeable number, because it can be changed into a prime (1002101200007) 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 11 ways as a sum of consecutive naturals, for example, 852627 + ... + 1652626.

Almost surely, 2^{1002101200000} is an apocalyptic number.

1002101200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002101200000 is an abundant number, since it is smaller than the sum of its proper divisors (1493206941620).

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

1002101200000 is an frugal number, since it uses more digits than its factorization.

1002101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505292 (or 2505260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002101200000 its reverse (21012001), we get a palindrome (1002122212001).

The spelling of 1002101200000 in words is "one trillion, two billion, one hundred one million, two hundred thousand".