42200412100 has 216 divisors, whose sum is σ = 117622659168. Its totient is φ = 12993523200.

The previous prime is 42200412097. The next prime is 42200412109. The reversal of 42200412100 is 121400224.

It is not an unprimeable number, because it can be changed into a prime (42200412109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4468984 + ... + 4478416.

It is an arithmetic number, because the mean of its divisors is an integer number (544549348).

Almost surely, 2^42200412100 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 42200412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58811329584).

42200412100 is an abundant number, since it is smaller than the sum of its proper divisors (75422247068).

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

42200412100 is a wasteful number, since it uses less digits than its factorization.

42200412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9555 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 42200412100 its reverse (121400224), we get a palindrome (42321812324).

The spelling of 42200412100 in words is "forty-two billion, two hundred million, four hundred twelve thousand, one hundred".