10020113200 has 60 divisors (see below), whose sum is σ = 24113565760. Its totient is φ = 4001345280.

The previous prime is 10020113197. The next prime is 10020113209. The reversal of 10020113200 is 231102001.

10020113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10020113209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 222166 + ... + 263434.

Almost surely, 2^10020113200 is an apocalyptic number.

10020113200 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 10020113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056782880).

10020113200 is an abundant number, since it is smaller than the sum of its proper divisors (14093452560).

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

10020113200 is a wasteful number, since it uses less digits than its factorization.

10020113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41894 (or 41883 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10020113200 its reverse (231102001), we get a palindrome (10251215201).

The spelling of 10020113200 in words is "ten billion, twenty million, one hundred thirteen thousand, two hundred".