10111113600 has 384 divisors, whose sum is σ = 38257670400. Its totient is φ = 2299207680.

The previous prime is 10111113599. The next prime is 10111113641. The reversal of 10111113600 is 631111101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×10111113600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10111113600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25468602 + ... + 25468998.

It is an arithmetic number, because the mean of its divisors is an integer number (99629350).

Almost surely, 2^10111113600 is an apocalyptic number.

10111113600 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 10111113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19128835200).

10111113600 is an abundant number, since it is smaller than the sum of its proper divisors (28146556800).

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

10111113600 is a wasteful number, since it uses less digits than its factorization.

10111113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10111113600 its reverse (631111101), we get a palindrome (10742224701).

The spelling of 10111113600 in words is "ten billion, one hundred eleven million, one hundred thirteen thousand, six hundred".