101173120 has 96 divisors (see below), whose sum is σ = 257401080. Its totient is φ = 38019072.

The previous prime is 101173097. The next prime is 101173123. The reversal of 101173120 is 21371101.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 101173094 and 101173103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101173123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184687 + ... + 185233.

Almost surely, 2^101173120 is an apocalyptic number.

101173120 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 101173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128700540).

101173120 is an abundant number, since it is smaller than the sum of its proper divisors (156227960).

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

101173120 is an equidigital number, since it uses as much as digits as its factorization.

101173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 101173120 is about 10058.4849753827. The cubic root of 101173120 is about 465.9668785979.

The spelling of 101173120 in words is "one hundred one million, one hundred seventy-three thousand, one hundred twenty".