10111122120 has 256 divisors, whose sum is σ = 33708960000. Its totient is φ = 2405888000.

The previous prime is 10111122103. The next prime is 10111122139. The reversal of 10111122120 is 2122111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10111122096 and 10111122105.

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, 19864426 + ... + 19864934.

It is an arithmetic number, because the mean of its divisors is an integer number (131675625).

Almost surely, 2^10111122120 is an apocalyptic number.

10111122120 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 10111122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854480000).

10111122120 is an abundant number, since it is smaller than the sum of its proper divisors (23597837880).

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

10111122120 is a wasteful number, since it uses less digits than its factorization.

10111122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111122120 its reverse (2122111101), we get a palindrome (12233233221).

It can be divided in two parts, 10111 and 122120, that added together give a palindrome (132231).

The spelling of 10111122120 in words is "ten billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".