410101120 has 128 divisors (see below), whose sum is σ = 1152053280. Its totient is φ = 137625600.

The previous prime is 410101117. The next prime is 410101127. The reversal of 410101120 is 21101014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 410101097 and 410101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410101127) 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 15 ways as a sum of consecutive naturals, for example, 89280 + ... + 93760.

Almost surely, 2^410101120 is an apocalyptic number.

410101120 is a gapful number since it is divisible by the number (40) 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 410101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576026640).

410101120 is an abundant number, since it is smaller than the sum of its proper divisors (741952160).

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

410101120 is a wasteful number, since it uses less digits than its factorization.

410101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 410101120 is about 20250.9535577957. The cubic root of 410101120 is about 742.9569536217.

Adding to 410101120 its reverse (21101014), we get a palindrome (431202134).

The spelling of 410101120 in words is "four hundred ten million, one hundred one thousand, one hundred twenty".