101123120 has 80 divisors (see below), whose sum is σ = 269982720. Its totient is φ = 34505472.

The previous prime is 101123117. The next prime is 101123129. The reversal of 101123120 is 21321101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (101123129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200789 + ... + 201291.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^101123120 is an apocalyptic number.

101123120 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 101123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

101123120 is an abundant number, since it is smaller than the sum of its proper divisors (168859600).

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

101123120 is a wasteful number, since it uses less digits than its factorization.

101123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101123120 is about 10055.9992044550. Note that the first 3 decimals coincide. The cubic root of 101123120 is about 465.8901052974.

Adding to 101123120 its reverse (21321101), we get a palindrome (122444221).

The spelling of 101123120 in words is "one hundred one million, one hundred twenty-three thousand, one hundred twenty".