101075120 has 40 divisors (see below), whose sum is σ = 241358064. Its totient is φ = 39336192.

The previous prime is 101075059. The next prime is 101075123. The reversal of 101075120 is 21570101.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (101075123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14114 + ... + 20033.

Almost surely, 2^101075120 is an apocalyptic number.

101075120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101075120 is an abundant number, since it is smaller than the sum of its proper divisors (140282944).

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

101075120 is a wasteful number, since it uses less digits than its factorization.

101075120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34197 (or 34191 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 101075120 is about 10053.6122861387. The cubic root of 101075120 is about 465.8163791166.

The spelling of 101075120 in words is "one hundred one million, seventy-five thousand, one hundred twenty".