4102114002 has 64 divisors (see below), whose sum is σ = 9684126720. Its totient is φ = 1133908416.

The previous prime is 4102113979. The next prime is 4102114007. The reversal of 4102114002 is 2004112014.

It is not an unprimeable number, because it can be changed into a prime (4102114007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270793 + ... + 285539.

It is an arithmetic number, because the mean of its divisors is an integer number (151314480).

Almost surely, 2^4102114002 is an apocalyptic number.

4102114002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102114002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842063360).

4102114002 is an abundant number, since it is smaller than the sum of its proper divisors (5582012718).

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

4102114002 is a wasteful number, since it uses less digits than its factorization.

4102114002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14975.

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

The square root of 4102114002 is about 64047.7478292563. The cubic root of 4102114002 is about 1600.7956982350.

Adding to 4102114002 its reverse (2004112014), we get a palindrome (6106226016).

The spelling of 4102114002 in words is "four billion, one hundred two million, one hundred fourteen thousand, two".