202102010000 has 200 divisors, whose sum is σ = 539106530688. Its totient is φ = 72760000000.

The previous prime is 202102009979. The next prime is 202102010053. The reversal of 202102010000 is 10201202.

202102010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 202102010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11100905 + ... + 11119095.

Almost surely, 2^202102010000 is an apocalyptic number.

202102010000 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 202102010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269553265344).

202102010000 is an abundant number, since it is smaller than the sum of its proper divisors (337004520688).

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

202102010000 is a wasteful number, since it uses less digits than its factorization.

202102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18331 (or 18310 counting only the distinct ones).

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

Adding to 202102010000 its reverse (10201202), we get a palindrome (202112211202).

The spelling of 202102010000 in words is "two hundred two billion, one hundred two million, ten thousand".