202104202000 has 80 divisors (see below), whose sum is σ = 489163334400. Its totient is φ = 80763043200.

The previous prime is 202104201989. The next prime is 202104202051. The reversal of 202104202000 is 202401202.

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

It is a super-2 number, since 2×202104202000² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2029371 + ... + 2126629.

It is an arithmetic number, because the mean of its divisors is an integer number (6114541680).

Almost surely, 2^202104202000 is an apocalyptic number.

202104202000 is a gapful number since it is divisible by the number (20) 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 202104202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244581667200).

202104202000 is an abundant number, since it is smaller than the sum of its proper divisors (287059132400).

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

202104202000 is a wasteful number, since it uses less digits than its factorization.

202104202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98321 (or 98305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202104202000 its reverse (202401202), we get a palindrome (202306603202).

The spelling of 202104202000 in words is "two hundred two billion, one hundred four million, two hundred two thousand".