10300201200 has 180 divisors, whose sum is σ = 35789146848. Its totient is φ = 2743296000.

The previous prime is 10300201193. The next prime is 10300201201. The reversal of 10300201200 is 210200301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300201201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4380025 + ... + 4382375.

Almost surely, 2^10300201200 is an apocalyptic number.

10300201200 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 10300201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17894573424).

10300201200 is an abundant number, since it is smaller than the sum of its proper divisors (25488945648).

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

10300201200 is a wasteful number, since it uses less digits than its factorization.

10300201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3578 counting only the distinct ones).

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

Adding to 10300201200 its reverse (210200301), we get a palindrome (10510401501).

The spelling of 10300201200 in words is "ten billion, three hundred million, two hundred one thousand, two hundred".