10020112000200 has 288 divisors, whose sum is σ = 35427891844800. Its totient is φ = 2530973882880.

The previous prime is 10020112000193. The next prime is 10020112000207. The reversal of 10020112000200 is 200021102001.

It is an interprime number because it is at equal distance from previous prime (10020112000193) and next prime (10020112000207).

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

It is not an unprimeable number, because it can be changed into a prime (10020112000207) 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 71 ways as a sum of consecutive naturals, for example, 238797622 + ... + 238839578.

It is an arithmetic number, because the mean of its divisors is an integer number (123013513350).

Almost surely, 2^{10020112000200} is an apocalyptic number.

10020112000200 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 10020112000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713945922400).

10020112000200 is an abundant number, since it is smaller than the sum of its proper divisors (25407779844600).

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

10020112000200 is a wasteful number, since it uses less digits than its factorization.

10020112000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48981 (or 48969 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020112000200 its reverse (200021102001), we get a palindrome (10220133102201).

The spelling of 10020112000200 in words is "ten trillion, twenty billion, one hundred twelve million, two hundred", and thus it is an aban number.