10113012200000 has 504 divisors, whose sum is σ = 27348652074240. Its totient is φ = 3696019200000.

The previous prime is 10113012199993. The next prime is 10113012200041. The reversal of 10113012200000 is 221031101.

It is a congruent number.

It is an unprimeable number.

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, 34515399854 + ... + 34515400146.

It is an arithmetic number, because the mean of its divisors is an integer number (54263198560).

Almost surely, 2^{10113012200000} is an apocalyptic number.

10113012200000 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 10113012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674326037120).

10113012200000 is an abundant number, since it is smaller than the sum of its proper divisors (17235639874240).

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

10113012200000 is an frugal number, since it uses more digits than its factorization.

10113012200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10113012200000 its reverse (221031101), we get a palindrome (10113233231101).

The spelling of 10113012200000 in words is "ten trillion, one hundred thirteen billion, twelve million, two hundred thousand".