30201012000200 has 192 divisors, whose sum is σ = 71961507561600. Its totient is φ = 11784223180800.

The previous prime is 30201012000191. The next prime is 30201012000209. The reversal of 30201012000200 is 200021010203.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30201012000191) and next prime (30201012000209).

It is a super-2 number, since 2×30201012000200² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30201012000209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259570612 + ... + 1259594588.

It is an arithmetic number, because the mean of its divisors is an integer number (374799518550).

Almost surely, 2^{30201012000200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201012000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35980753780800).

30201012000200 is an abundant number, since it is smaller than the sum of its proper divisors (41760495561400).

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

30201012000200 is a wasteful number, since it uses less digits than its factorization.

30201012000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25000 (or 24991 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 30201012000200 its reverse (200021010203), we get a palindrome (30401033010403).

The spelling of 30201012000200 in words is "thirty trillion, two hundred one billion, twelve million, two hundred", and thus it is an aban number.