1002000000100 has 36 divisors (see below), whose sum is σ = 2372007275568. Its totient is φ = 364363636000.

The previous prime is 1002000000083. The next prime is 1002000000121. The reversal of 1002000000100 is 10000002001.

1002000000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 1002000000100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455453446 + ... + 455455645.

It is an arithmetic number, because the mean of its divisors is an integer number (65889090988).

Almost surely, 2^{1002000000100} is an apocalyptic number.

1002000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000000100 is an abundant number, since it is smaller than the sum of its proper divisors (1370007275468).

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

1002000000100 is a wasteful number, since it uses less digits than its factorization.

1002000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910909116 (or 910909109 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 1002000000100 its reverse (10000002001), we get a palindrome (1012000002101).

The spelling of 1002000000100 in words is "one trillion, two billion, one hundred", and thus it is an aban number.