4121101314 has 80 divisors (see below), whose sum is σ = 10511899200. Its totient is φ = 1194510240.

The previous prime is 4121101307. The next prime is 4121101331. The reversal of 4121101314 is 4131011214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9289 + ... + 91260.

It is an arithmetic number, because the mean of its divisors is an integer number (131398740).

Almost surely, 2^4121101314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121101314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255949600).

4121101314 is an abundant number, since it is smaller than the sum of its proper divisors (6390797886).

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

4121101314 is a wasteful number, since it uses less digits than its factorization.

4121101314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100597 (or 100588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 4121101314 is about 64195.8044890786. The cubic root of 4121101314 is about 1603.2617463736.

Adding to 4121101314 its reverse (4131011214), we get a palindrome (8252112528).

The spelling of 4121101314 in words is "four billion, one hundred twenty-one million, one hundred one thousand, three hundred fourteen".