41021100120 has 256 divisors, whose sum is σ = 165232327680. Its totient is φ = 7868160000.

The previous prime is 41021100101. The next prime is 41021100137. The reversal of 41021100120 is 2100112014.

It is a happy number.

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 = 41021100096 and 41021100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50631 + ... + 290870.

It is an arithmetic number, because the mean of its divisors is an integer number (645438780).

Almost surely, 2^41021100120 is an apocalyptic number.

41021100120 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 41021100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82616163840).

41021100120 is an abundant number, since it is smaller than the sum of its proper divisors (124211227560).

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

41021100120 is a wasteful number, since it uses less digits than its factorization.

41021100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341546 (or 341542 counting only the distinct ones).

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

Adding to 41021100120 its reverse (2100112014), we get a palindrome (43121212134).

It can be divided in two parts, 41021 and 100120, that added together give a palindrome (141141).

The spelling of 41021100120 in words is "forty-one billion, twenty-one million, one hundred thousand, one hundred twenty".