1002010200012 has 144 divisors (see below), whose sum is σ = 2675581009920. Its totient is φ = 315309024000.

The previous prime is 1002010199999. The next prime is 1002010200019. The reversal of 1002010200012 is 2100020102001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002010199967 and 1002010200003.

It is not an unprimeable number, because it can be changed into a prime (1002010200019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339317928 + ... + 339320880.

It is an arithmetic number, because the mean of its divisors is an integer number (18580423680).

Almost surely, 2^{1002010200012} is an apocalyptic number.

1002010200012 is a gapful number since it is divisible by the number (12) 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 1002010200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337790504960).

1002010200012 is an abundant number, since it is smaller than the sum of its proper divisors (1673570809908).

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

1002010200012 is a wasteful number, since it uses less digits than its factorization.

1002010200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002010200012 its reverse (2100020102001), we get a palindrome (3102030302013).

The spelling of 1002010200012 in words is "one trillion, two billion, ten million, two hundred thousand, twelve".