200101200312 has 256 divisors, whose sum is σ = 555837004800. Its totient is φ = 59653324800.

The previous prime is 200101200289. The next prime is 200101200407. The reversal of 200101200312 is 213002101002.

200101200312 is digitally balanced in base 2, 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 536464158 + ... + 536464530.

It is an arithmetic number, because the mean of its divisors is an integer number (2171238300).

Almost surely, 2^200101200312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200101200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277918502400).

200101200312 is an abundant number, since it is smaller than the sum of its proper divisors (355735804488).

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

200101200312 is a wasteful number, since it uses less digits than its factorization.

200101200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 200101200312 its reverse (213002101002), we get a palindrome (413103301314).

The spelling of 200101200312 in words is "two hundred billion, one hundred one million, two hundred thousand, three hundred twelve".