4134201100 has 72 divisors (see below), whose sum is σ = 9520640640. Its totient is φ = 1552849920.

The previous prime is 4134201047. The next prime is 4134201101. The reversal of 4134201100 is 11024314.

It is not an unprimeable number, because it can be changed into a prime (4134201101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 811762 + ... + 816838.

It is an arithmetic number, because the mean of its divisors is an integer number (132231120).

Almost surely, 2^4134201100 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 4134201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760320320).

4134201100 is an abundant number, since it is smaller than the sum of its proper divisors (5386439540).

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

4134201100 is a wasteful number, since it uses less digits than its factorization.

4134201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4134201100 is about 64297.7534599771. The cubic root of 4134201100 is about 1604.9587176359.

Adding to 4134201100 its reverse (11024314), we get a palindrome (4145225414).

The spelling of 4134201100 in words is "four billion, one hundred thirty-four million, two hundred one thousand, one hundred".