4101200010 has 96 divisors (see below), whose sum is σ = 11048665680. Its totient is φ = 1054233600.

The previous prime is 4101200009. The next prime is 4101200017. The reversal of 4101200010 is 100021014.

It is a happy number.

4101200010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1992461769 + 2108738241 = 44637^2 + 45921^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 4101199965 and 4101200001.

It is not an unprimeable number, because it can be changed into a prime (4101200017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2768470 + ... + 2769950.

Almost surely, 2^4101200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524332840).

4101200010 is an abundant number, since it is smaller than the sum of its proper divisors (6947465670).

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

4101200010 is a wasteful number, since it uses less digits than its factorization.

4101200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4101200010 is about 64040.6121925767. The cubic root of 4101200010 is about 1600.6767983101.

Adding to 4101200010 its reverse (100021014), we get a palindrome (4201221024).

The spelling of 4101200010 in words is "four billion, one hundred one million, two hundred thousand, ten".