4121100 has 108 divisors (see below), whose sum is σ = 13653640. Its totient is φ = 1036800.

The previous prime is 4121087. The next prime is 4121107. The reversal of 4121100 is 11214.

It is a happy number.

4121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (4121107) 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 35 ways as a sum of consecutive naturals, for example, 16980 + ... + 17220.

Almost surely, 2^4121100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826820).

4121100 is an abundant number, since it is smaller than the sum of its proper divisors (9532540).

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

4121100 is a wasteful number, since it uses less digits than its factorization.

4121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4121100 is about 2030.0492604861. The cubic root of 4121100 is about 160.3261575975.

Adding to 4121100 its reverse (11214), we get a palindrome (4132314).

It can be divided in two parts, 4 and 121100, that added together give a square (121104 = 348²).

The spelling of 4121100 in words is "four million, one hundred twenty-one thousand, one hundred".