201300010430200 has 384 divisors, whose sum is σ = 528049527667200. Its totient is φ = 70731682560000.

The previous prime is 201300010430107. The next prime is 201300010430201. The reversal of 201300010430200 is 2034010003102.

It is a happy number.

It is a super-3 number, since 3×201300010430200³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201300010430201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12602509414 + ... + 12602525386.

It is an arithmetic number, because the mean of its divisors is an integer number (1375128978300).

Almost surely, 2^{201300010430200} is an apocalyptic number.

201300010430200 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 201300010430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264024763833600).

201300010430200 is an abundant number, since it is smaller than the sum of its proper divisors (326749517237000).

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

201300010430200 is a wasteful number, since it uses less digits than its factorization.

201300010430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17463 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201300010430200 its reverse (2034010003102), we get a palindrome (203334020433302).

The spelling of 201300010430200 in words is "two hundred one trillion, three hundred billion, ten million, four hundred thirty thousand, two hundred".