202021200101200 has 120 divisors (see below), whose sum is σ = 485548097319992. Its totient is φ = 80776494120960.

The previous prime is 202021200101183. The next prime is 202021200101243. The reversal of 202021200101200 is 2101002120202.

It is a happy number.

202021200101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 38640346770496 + 163380853330704 = 6216136^2 + 12782052^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15910933252 + ... + 15910945948.

Almost surely, 2^{202021200101200} is an apocalyptic number.

202021200101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202021200101200 is an abundant number, since it is smaller than the sum of its proper divisors (283526897218792).

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

202021200101200 is a wasteful number, since it uses less digits than its factorization.

202021200101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25329 (or 25318 counting only the distinct ones).

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

Adding to 202021200101200 its reverse (2101002120202), we get a palindrome (204122202221402).

The spelling of 202021200101200 in words is "two hundred two trillion, twenty-one billion, two hundred million, one hundred one thousand, two hundred".