100302312200 has 96 divisors (see below), whose sum is σ = 239375605320. Its totient is φ = 39072000000.

The previous prime is 100302312199. The next prime is 100302312239. The reversal of 100302312200 is 2213203001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 12770356036 + 87531956164 = 113006^2 + 295858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191500 + ... + 1272900.

Almost surely, 2^100302312200 is an apocalyptic number.

100302312200 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 100302312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119687802660).

100302312200 is an abundant number, since it is smaller than the sum of its proper divisors (139073293120).

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

100302312200 is a wasteful number, since it uses less digits than its factorization.

100302312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81579 (or 81570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100302312200 its reverse (2213203001), we get a palindrome (102515515201).

The spelling of 100302312200 in words is "one hundred billion, three hundred two million, three hundred twelve thousand, two hundred".