4201040100 has 72 divisors (see below), whose sum is σ = 12236716800. Its totient is φ = 1112746880.

The previous prime is 4201040083. The next prime is 4201040111. The reversal of 4201040100 is 10401024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2292 + ... + 91691.

It is an arithmetic number, because the mean of its divisors is an integer number (169954400).

Almost surely, 2^4201040100 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 4201040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118358400).

4201040100 is an abundant number, since it is smaller than the sum of its proper divisors (8035676700).

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

4201040100 is a wasteful number, since it uses less digits than its factorization.

4201040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94149 (or 94142 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4201040100 is about 64815.4310330495. The cubic root of 4201040100 is about 1613.5618197252.

Adding to 4201040100 its reverse (10401024), we get a palindrome (4211441124).

The spelling of 4201040100 in words is "four billion, two hundred one million, forty thousand, one hundred".