19820102000 has 80 divisors (see below), whose sum is σ = 47956213344. Its totient is φ = 7922880000.

The previous prime is 19820101943. The next prime is 19820102009. The reversal of 19820102000 is 20102891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19820102009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5040035 + ... + 5043965.

Almost surely, 2^19820102000 is an apocalyptic number.

19820102000 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 19820102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978106672).

19820102000 is an abundant number, since it is smaller than the sum of its proper divisors (28136111344).

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

19820102000 is a wasteful number, since it uses less digits than its factorization.

19820102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6475 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 19820102000 its reverse (20102891), we get a palindrome (19840204891).

The spelling of 19820102000 in words is "nineteen billion, eight hundred twenty million, one hundred two thousand".