2101041120 has 96 divisors (see below), whose sum is σ = 6831820800. Its totient is φ = 542200320.

The previous prime is 2101041119. The next prime is 2101041127. The reversal of 2101041120 is 211401012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2101041120³ (a number of 29 digits) contains 333 as substring.

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 = 2101041096 and 2101041105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101041127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55720 + ... + 85479.

It is an arithmetic number, because the mean of its divisors is an integer number (71164800).

Almost surely, 2^2101041120 is an apocalyptic number.

2101041120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101041120 is an abundant number, since it is smaller than the sum of its proper divisors (4730779680).

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

2101041120 is a wasteful number, since it uses less digits than its factorization.

2101041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141248 (or 141240 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2101041120 is about 45837.1150924663. The cubic root of 2101041120 is about 1280.7907548786.

Adding to 2101041120 its reverse (211401012), we get a palindrome (2312442132).

The spelling of 2101041120 in words is "two billion, one hundred one million, forty-one thousand, one hundred twenty".