202122102000 has 640 divisors, whose sum is σ = 820767467520. Its totient is φ = 41648947200.

The previous prime is 202122101989. The next prime is 202122102019. The reversal of 202122102000 is 201221202.

202122102000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 23473696 + ... + 23482304.

It is an arithmetic number, because the mean of its divisors is an integer number (1282449168).

Almost surely, 2^202122102000 is an apocalyptic number.

202122102000 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 202122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410383733760).

202122102000 is an abundant number, since it is smaller than the sum of its proper divisors (618645365520).

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

202122102000 is a wasteful number, since it uses less digits than its factorization.

202122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8698 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202122102000 its reverse (201221202), we get a palindrome (202323323202).

It can be divided in two parts, 20212 and 2102000, that added together give a palindrome (2122212).

The spelling of 202122102000 in words is "two hundred two billion, one hundred twenty-two million, one hundred two thousand".