202001022011200 has 168 divisors, whose sum is σ = 499640931424800. Its totient is φ = 80379621672960.

The previous prime is 202001022011119. The next prime is 202001022011203. The reversal of 202001022011200 is 2110220100202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001022011203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434684571 + ... + 435149029.

Almost surely, 2^{202001022011200} is an apocalyptic number.

202001022011200 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 202001022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249820465712400).

202001022011200 is an abundant number, since it is smaller than the sum of its proper divisors (297639909413600).

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

202001022011200 is a wasteful number, since it uses less digits than its factorization.

202001022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465897 (or 465882 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202001022011200 its reverse (2110220100202), we get a palindrome (204111242111402).

The spelling of 202001022011200 in words is "two hundred two trillion, one billion, twenty-two million, eleven thousand, two hundred".