1002000100112 has 80 divisors (see below), whose sum is σ = 2263846354560. Its totient is φ = 425026483200.

The previous prime is 1002000100097. The next prime is 1002000100183. The reversal of 1002000100112 is 2110010002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1002000100112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852687 + ... + 3184622.

It is an arithmetic number, because the mean of its divisors is an integer number (28298079432).

Almost surely, 2^{1002000100112} is an apocalyptic number.

It is an amenable number.

1002000100112 is an abundant number, since it is smaller than the sum of its proper divisors (1261846254448).

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

1002000100112 is a wasteful number, since it uses less digits than its factorization.

1002000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037392 (or 6037386 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002000100112 its reverse (2110010002001), we get a palindrome (3112010102113).

The spelling of 1002000100112 in words is "one trillion, two billion, one hundred thousand, one hundred twelve".