1000100002000 has 160 divisors (see below), whose sum is σ = 2681332812288. Its totient is φ = 357710400000.

The previous prime is 1000100001949. The next prime is 1000100002007. The reversal of 1000100002000 is 2000010001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969385 + ... + 1714615.

Almost surely, 2^{1000100002000} is an apocalyptic number.

1000100002000 is a gapful number since it is divisible by the number (10) 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 1000100002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340666406144).

1000100002000 is an abundant number, since it is smaller than the sum of its proper divisors (1681232810288).

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

1000100002000 is a wasteful number, since it uses less digits than its factorization.

1000100002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745326 (or 745310 counting only the distinct ones).

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

Adding to 1000100002000 its reverse (2000010001), we get a palindrome (1002100012001).

The spelling of 1000100002000 in words is "one trillion, one hundred million, two thousand".