4202124125100 has 288 divisors, whose sum is σ = 14091635577600. Its totient is φ = 956985523200.

The previous prime is 4202124125099. The next prime is 4202124125131. The reversal of 4202124125100 is 15214212024.

4202124125100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2947531 + ... + 4134269.

It is an arithmetic number, because the mean of its divisors is an integer number (48929290200).

Almost surely, 2^{4202124125100} 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 4202124125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045817788800).

4202124125100 is an abundant number, since it is smaller than the sum of its proper divisors (9889511452500).

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

4202124125100 is a wasteful number, since it uses less digits than its factorization.

4202124125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186833 (or 1186826 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 4202124125100 its reverse (15214212024), we get a palindrome (4217338337124).

The spelling of 4202124125100 in words is "four trillion, two hundred two billion, one hundred twenty-four million, one hundred twenty-five thousand, one hundred".