4241120100 has 288 divisors, whose sum is σ = 14585066496. Its totient is φ = 931392000.

The previous prime is 4241120089. The next prime is 4241120113. The reversal of 4241120100 is 10211424.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4241120100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6049750 + ... + 6050450.

It is an arithmetic number, because the mean of its divisors is an integer number (50642592).

Almost surely, 2^4241120100 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 4241120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292533248).

4241120100 is an abundant number, since it is smaller than the sum of its proper divisors (10343946396).

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

4241120100 is a wasteful number, since it uses less digits than its factorization.

4241120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4241120100 is about 65123.8827159438. The cubic root of 4241120100 is about 1618.6769795577.

Adding to 4241120100 its reverse (10211424), we get a palindrome (4251331524).

The spelling of 4241120100 in words is "four billion, two hundred forty-one million, one hundred twenty thousand, one hundred".