101200300200 has 144 divisors (see below), whose sum is σ = 339964875900. Its totient is φ = 26978764800.

The previous prime is 101200300193. The next prime is 101200300207. The reversal of 101200300200 is 2003002101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101200300193) and next prime (101200300207).

It can be written as a sum of positive squares in 6 ways, for example, as 30445364196 + 70754936004 = 174486^2 + 265998^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101200300207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8491846 + ... + 8503754.

Almost surely, 2^101200300200 is an apocalyptic number.

101200300200 is a gapful number since it is divisible by the number (10) 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 101200300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169982437950).

101200300200 is an abundant number, since it is smaller than the sum of its proper divisors (238764575700).

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

101200300200 is a wasteful number, since it uses less digits than its factorization.

101200300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16652 (or 16640 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 101200300200 its reverse (2003002101), we get a palindrome (103203302301).

The spelling of 101200300200 in words is "one hundred one billion, two hundred million, three hundred thousand, two hundred".