202102220201200 has 960 divisors, whose sum is σ = 561441252424320. Its totient is φ = 69261557760000.

The previous prime is 202102220201191. The next prime is 202102220201201. The reversal of 202102220201200 is 2102022201202.

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 (202102220201201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164444442186 + ... + 164444443414.

It is an arithmetic number, because the mean of its divisors is an integer number (584834637942).

Almost surely, 2^{202102220201200} is an apocalyptic number.

202102220201200 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 202102220201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280720626212160).

202102220201200 is an abundant number, since it is smaller than the sum of its proper divisors (359339032223120).

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

202102220201200 is a wasteful number, since it uses less digits than its factorization.

202102220201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202102220201200 its reverse (2102022201202), we get a palindrome (204204242402402).

It can be divided in two parts, 2021022 and 20201200, that added together give a palindrome (22222222).

The spelling of 202102220201200 in words is "two hundred two trillion, one hundred two billion, two hundred twenty million, two hundred one thousand, two hundred".