30012100200 has 144 divisors (see below), whose sum is σ = 101184377580. Its totient is φ = 7971962880.

The previous prime is 30012100189. The next prime is 30012100213. The reversal of 30012100200 is 200121003.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27736237764 + 2275862436 = 166542^2 + 47706^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 430162 + ... + 495038.

Almost surely, 2^30012100200 is an apocalyptic number.

30012100200 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 30012100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50592188790).

30012100200 is an abundant number, since it is smaller than the sum of its proper divisors (71172277380).

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

30012100200 is a wasteful number, since it uses less digits than its factorization.

30012100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65156 (or 65144 counting only the distinct ones).

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

Adding to 30012100200 its reverse (200121003), we get a palindrome (30212221203).

The spelling of 30012100200 in words is "thirty billion, twelve million, one hundred thousand, two hundred".