30002002110000 has 300 divisors, whose sum is σ = 106399122944400. Its totient is φ = 7887848640000.

The previous prime is 30002002109999. The next prime is 30002002110097. The reversal of 30002002110000 is 1120020003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 4042426 + ... + 8737574.

It is an arithmetic number, because the mean of its divisors is an integer number (354663743148).

Almost surely, 2^{30002002110000} is an apocalyptic number.

30002002110000 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 30002002110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53199561472200).

30002002110000 is an abundant number, since it is smaller than the sum of its proper divisors (76397120834400).

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

30002002110000 is a wasteful number, since it uses less digits than its factorization.

30002002110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695254 (or 4695230 counting only the distinct ones).

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

Adding to 30002002110000 its reverse (1120020003), we get a palindrome (30003122130003).

The spelling of 30002002110000 in words is "thirty trillion, two billion, two million, one hundred ten thousand".