4210440101 has 12 divisors (see below), whose sum is σ = 5017321260. Its totient is φ = 3520923840.

The previous prime is 4210440089. The next prime is 4210440107. The reversal of 4210440101 is 1010440124.

It can be written as a sum of positive squares in 2 ways, for example, as 69388900 + 4141051201 = 8330^2 + 64351^2 .

It is not a de Polignac number, because 4210440101 - 2¹⁸ = 4210177957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4210440101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4210440107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1045886 + ... + 1049903.

It is an arithmetic number, because the mean of its divisors is an integer number (418110105).

Almost surely, 2^4210440101 is an apocalyptic number.

4210440101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4210440101 is a deficient number, since it is larger than the sum of its proper divisors (806881159).

4210440101 is a wasteful number, since it uses less digits than its factorization.

4210440101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095844 (or 2095837 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4210440101 is about 64887.9041193349. The cubic root of 4210440101 is about 1614.7643936733.

Adding to 4210440101 its reverse (1010440124), we get a palindrome (5220880225).

The spelling of 4210440101 in words is "four billion, two hundred ten million, four hundred forty thousand, one hundred one".