4102000100 has 72 divisors (see below), whose sum is σ = 9745605408. Its totient is φ = 1486252800.

The previous prime is 4102000087. The next prime is 4102000109. The reversal of 4102000100 is 10002014.

It is not an unprimeable number, because it can be changed into a prime (4102000109) 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, 304712 + ... + 317888.

Almost surely, 2^4102000100 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 4102000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872802704).

4102000100 is an abundant number, since it is smaller than the sum of its proper divisors (5643605308).

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

4102000100 is a wasteful number, since it uses less digits than its factorization.

4102000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13485 (or 13478 counting only the distinct ones).

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

The square root of 4102000100 is about 64046.8586271021. The cubic root of 4102000100 is about 1600.7808818485.

Adding to 4102000100 its reverse (10002014), we get a palindrome (4112002114).

The spelling of 4102000100 in words is "four billion, one hundred two million, one hundred", and thus it is an aban number.