100002002000 has 80 divisors (see below), whose sum is σ = 244522184400. Its totient is φ = 39551283200.

The previous prime is 100002001963. The next prime is 100002002017. The reversal of 100002002000 is 200200001.

It can be written as a sum of positive squares in 8 ways, for example, as 44769481744 + 55232520256 = 211588^2 + 235016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102905 + ... + 458904.

It is an arithmetic number, because the mean of its divisors is an integer number (3056527305).

Almost surely, 2^100002002000 is an apocalyptic number.

100002002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002002000 is an abundant number, since it is smaller than the sum of its proper divisors (144520182400).

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

100002002000 is an equidigital number, since it uses as much as digits as its factorization.

100002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561921 (or 561905 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 100002002000 its reverse (200200001), we get a palindrome (100202202001).

The spelling of 100002002000 in words is "one hundred billion, two million, two thousand".