101200311200 has 36 divisors (see below), whose sum is σ = 247055261670. Its totient is φ = 40480124160.

The previous prime is 101200311161. The next prime is 101200311203. The reversal of 101200311200 is 2113002101.

It can be written as a sum of positive squares in 3 ways, for example, as 93535658896 + 7664652304 = 305836^2 + 87548^2 .

It is not an unprimeable number, because it can be changed into a prime (101200311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63249395 + ... + 63250994.

Almost surely, 2^101200311200 is an apocalyptic number.

101200311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200311200 is an abundant number, since it is smaller than the sum of its proper divisors (145854950470).

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

101200311200 is a wasteful number, since it uses less digits than its factorization.

101200311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126500409 (or 126500396 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101200311200 its reverse (2113002101), we get a palindrome (103313313301).

The spelling of 101200311200 in words is "one hundred one billion, two hundred million, three hundred eleven thousand, two hundred".