1002001002112 has 256 divisors, whose sum is σ = 2357529753600. Its totient is φ = 419281920000.

The previous prime is 1002001002109. The next prime is 1002001002127. The reversal of 1002001002112 is 2112001002001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297239787 + ... + 297243157.

It is an arithmetic number, because the mean of its divisors is an integer number (9209100600).

Almost surely, 2^{1002001002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002001002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178764876800).

1002001002112 is an abundant number, since it is smaller than the sum of its proper divisors (1355528751488).

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

1002001002112 is a wasteful number, since it uses less digits than its factorization.

1002001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002001002112 its reverse (2112001002001), we get a palindrome (3114002004113).

The spelling of 1002001002112 in words is "one trillion, two billion, one million, two thousand, one hundred twelve".