10111123320 has 256 divisors, whose sum is σ = 32891287680. Its totient is φ = 2477260800.

The previous prime is 10111123273. The next prime is 10111123331. The reversal of 10111123320 is 2332111101.

It is a happy number.

It is a super-3 number, since 3×10111123320³ (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 10111123320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24016710 + ... + 24017130.

Almost surely, 2^10111123320 is an apocalyptic number.

10111123320 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 10111123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445643840).

10111123320 is an abundant number, since it is smaller than the sum of its proper divisors (22780164360).

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

10111123320 is a wasteful number, since it uses less digits than its factorization.

10111123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10111123320 its reverse (2332111101), we get a palindrome (12443234421).

The spelling of 10111123320 in words is "ten billion, one hundred eleven million, one hundred twenty-three thousand, three hundred twenty".