1002020001012 has 72 divisors (see below), whose sum is σ = 2621554135200. Its totient is φ = 322325575488.

The previous prime is 1002020001011. The next prime is 1002020001107. The reversal of 1002020001012 is 2101000202001.

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 = 1002020000985 and 1002020001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002020001011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1823583 + ... + 2308569.

It is an arithmetic number, because the mean of its divisors is an integer number (36410474100).

Almost surely, 2^{1002020001012} is an apocalyptic number.

1002020001012 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 1002020001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310777067600).

1002020001012 is an abundant number, since it is smaller than the sum of its proper divisors (1619534134188).

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

1002020001012 is a wasteful number, since it uses less digits than its factorization.

1002020001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487005 (or 487000 counting only the distinct ones).

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

Adding to 1002020001012 its reverse (2101000202001), we get a palindrome (3103020203013).

The spelling of 1002020001012 in words is "one trillion, two billion, twenty million, one thousand, twelve".