202010112201200 has 240 divisors, whose sum is σ = 499388233893120. Its totient is φ = 78500737536000.

The previous prime is 202010112201193. The next prime is 202010112201211. The reversal of 202010112201200 is 2102211010202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744940037 + ... + 745211163.

It is an arithmetic number, because the mean of its divisors is an integer number (2080784307888).

Almost surely, 2^{202010112201200} is an apocalyptic number.

202010112201200 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 202010112201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249694116946560).

202010112201200 is an abundant number, since it is smaller than the sum of its proper divisors (297378121691920).

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

202010112201200 is a wasteful number, since it uses less digits than its factorization.

202010112201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271576 (or 271565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202010112201200 its reverse (2102211010202), we get a palindrome (204112323211402).

The spelling of 202010112201200 in words is "two hundred two trillion, ten billion, one hundred twelve million, two hundred one thousand, two hundred".