30101030112000 has 576 divisors, whose sum is σ = 100592582178816. Its totient is φ = 7977966796800.

The previous prime is 30101030111993. The next prime is 30101030112029. The reversal of 30101030112000 is 21103010103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12578782804 + ... + 12578785196.

It is an arithmetic number, because the mean of its divisors is an integer number (174639899616).

Almost surely, 2^{30101030112000} is an apocalyptic number.

30101030112000 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 30101030112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50296291089408).

30101030112000 is an abundant number, since it is smaller than the sum of its proper divisors (70491552066816).

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

30101030112000 is a wasteful number, since it uses less digits than its factorization.

30101030112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 30101030112000 its reverse (21103010103), we get a palindrome (30122133122103).

The spelling of 30101030112000 in words is "thirty trillion, one hundred one billion, thirty million, one hundred twelve thousand".