30111312100200 has 192 divisors, whose sum is σ = 94687098120000. Its totient is φ = 7914386995200.

The previous prime is 30111312100189. The next prime is 30111312100211. The reversal of 30111312100200 is 200121311103.

It is a happy number.

30111312100200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (30111312100189) and next prime (30111312100211).

It is a super-2 number, since 2×30111312100200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30111312100200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65426890 + ... + 65885510.

It is an arithmetic number, because the mean of its divisors is an integer number (493161969375).

Almost surely, 2^{30111312100200} is an apocalyptic number.

30111312100200 is a gapful number since it is divisible by the number (30) 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 30111312100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47343549060000).

30111312100200 is an abundant number, since it is smaller than the sum of its proper divisors (64575786019800).

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

30111312100200 is a wasteful number, since it uses less digits than its factorization.

30111312100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460212 (or 460203 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 30111312100200 its reverse (200121311103), we get a palindrome (30311433411303).

The spelling of 30111312100200 in words is "thirty trillion, one hundred eleven billion, three hundred twelve million, one hundred thousand, two hundred".