10011123020320 has 96 divisors (see below), whose sum is σ = 23856343172928. Its totient is φ = 3969853037568.

The previous prime is 10011123020309. The next prime is 10011123020377. The reversal of 10011123020320 is 2302032111001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10011123020294 and 10011123020303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9870307 + ... + 10837213.

It is an arithmetic number, because the mean of its divisors is an integer number (248503574718).

Almost surely, 2^{10011123020320} is an apocalyptic number.

10011123020320 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 10011123020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11928171586464).

10011123020320 is an abundant number, since it is smaller than the sum of its proper divisors (13845220152608).

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

10011123020320 is a wasteful number, since it uses less digits than its factorization.

10011123020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967482 (or 967474 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10011123020320 its reverse (2302032111001), we get a palindrome (12313155131321).

The spelling of 10011123020320 in words is "ten trillion, eleven billion, one hundred twenty-three million, twenty thousand, three hundred twenty".