201820102000 has 80 divisors (see below), whose sum is σ = 532364792544. Its totient is φ = 73389120000.

The previous prime is 201820101929. The next prime is 201820102007. The reversal of 201820102000 is 201028102.

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201820102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4564821 + ... + 4608820.

Almost surely, 2^201820102000 is an apocalyptic number.

201820102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201820102000 is an abundant number, since it is smaller than the sum of its proper divisors (330544690544).

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

201820102000 is a wasteful number, since it uses less digits than its factorization.

201820102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9173675 (or 9173659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 201820102000 in words is "two hundred one billion, eight hundred twenty million, one hundred two thousand".