10113375836200 has 1152 divisors, whose sum is σ = 31376791756800. Its totient is φ = 2948211302400.

The previous prime is 10113375836177. The next prime is 10113375836261. The reversal of 10113375836200 is 263857331101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 287 ways as a sum of consecutive naturals, for example, 64416406522 + ... + 64416406678.

It is an arithmetic number, because the mean of its divisors is an integer number (27236798400).

Almost surely, 2^{10113375836200} is an apocalyptic number.

10113375836200 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 10113375836200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688395878400).

10113375836200 is an abundant number, since it is smaller than the sum of its proper divisors (21263415920600).

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

10113375836200 is a wasteful number, since it uses less digits than its factorization.

10113375836200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 10113375836200 in words is "ten trillion, one hundred thirteen billion, three hundred seventy-five million, eight hundred thirty-six thousand, two hundred".