4101044100 has 72 divisors (see below), whose sum is σ = 11941402368. Its totient is φ = 1086633600.

The previous prime is 4101044047. The next prime is 4101044149. The reversal of 4101044100 is 14401014.

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 4101044100.

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, 3565 + ... + 90635.

Almost surely, 2^4101044100 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 4101044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5970701184).

4101044100 is an abundant number, since it is smaller than the sum of its proper divisors (7840358268).

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

4101044100 is a wasteful number, since it uses less digits than its factorization.

4101044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87245 (or 87238 counting only the distinct ones).

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

The square root of 4101044100 is about 64039.3949065729. The cubic root of 4101044100 is about 1600.6565144353.

Adding to 4101044100 its reverse (14401014), we get a palindrome (4115445114).

The spelling of 4101044100 in words is "four billion, one hundred one million, forty-four thousand, one hundred".