200101012021200 has 480 divisors, whose sum is σ = 655355183155200. Its totient is φ = 52179872808960.

The previous prime is 200101012021193. The next prime is 200101012021247. The reversal of 200101012021200 is 2120210101002.

200101012021200 is digitally balanced in base 3, because in such base 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 (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4153258711 + ... + 4153306889.

It is an arithmetic number, because the mean of its divisors is an integer number (1365323298240).

Almost surely, 2^{200101012021200} is an apocalyptic number.

200101012021200 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 200101012021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327677591577600).

200101012021200 is an abundant number, since it is smaller than the sum of its proper divisors (455254171134000).

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

200101012021200 is a wasteful number, since it uses less digits than its factorization.

200101012021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48699 (or 48688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200101012021200 its reverse (2120210101002), we get a palindrome (202221222122202).

The spelling of 200101012021200 in words is "two hundred trillion, one hundred one billion, twelve million, twenty-one thousand, two hundred".