10112030302000 has 320 divisors, whose sum is σ = 27353684966400. Its totient is φ = 3584528640000.

The previous prime is 10112030301973. The next prime is 10112030302007. The reversal of 10112030302000 is 20303021101.

It is a super-2 number, since 2×10112030302000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10112030302007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138981631 + ... + 139054369.

It is an arithmetic number, because the mean of its divisors is an integer number (85480265520).

Almost surely, 2^{10112030302000} is an apocalyptic number.

10112030302000 is a gapful number since it is divisible by the number (10) 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 10112030302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13676842483200).

10112030302000 is an abundant number, since it is smaller than the sum of its proper divisors (17241654664400).

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

10112030302000 is a wasteful number, since it uses less digits than its factorization.

10112030302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72933 (or 72917 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10112030302000 its reverse (20303021101), we get a palindrome (10132333323101).

The spelling of 10112030302000 in words is "ten trillion, one hundred twelve billion, thirty million, three hundred two thousand".