100102002002000 has 40 divisors (see below), whose sum is σ = 242046640845672. Its totient is φ = 40040800800000.

The previous prime is 100102002001993. The next prime is 100102002002027. The reversal of 100102002002000 is 200200201001.

It can be written as a sum of positive squares in 4 ways, for example, as 1403817389584 + 98698184612416 = 1184828^2 + 9934696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25025498501 + ... + 25025502500.

Almost surely, 2^{100102002002000} is an apocalyptic number.

100102002002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102002002000 is an abundant number, since it is smaller than the sum of its proper divisors (141944638843672).

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

100102002002000 is an equidigital number, since it uses as much as digits as its factorization.

100102002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50051001024 (or 50051001008 counting only the distinct ones).

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

Adding to 100102002002000 its reverse (200200201001), we get a palindrome (100302202203001).

The spelling of 100102002002000 in words is "one hundred trillion, one hundred two billion, two million, two thousand".