9101200021120 has 64 divisors (see below), whose sum is σ = 22288228469640. Its totient is φ = 3551687802880.

The previous prime is 9101200021021. The next prime is 9101200021129. The reversal of 9101200021120 is 211200021019.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6728047447104 + 2373152574016 = 2593848^2 + 1540504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×9101200021120⁴ (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (9101200021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173396017 + ... + 173448496.

Almost surely, 2^{9101200021120} is an apocalyptic number.

It is an amenable number.

9101200021120 is an abundant number, since it is smaller than the sum of its proper divisors (13187028448520).

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

9101200021120 is a wasteful number, since it uses less digits than its factorization.

9101200021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346844573 (or 346844561 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 9101200021120 its reverse (211200021019), we get a palindrome (9312400042139).

The spelling of 9101200021120 in words is "nine trillion, one hundred one billion, two hundred million, twenty-one thousand, one hundred twenty".