42201244100 has 72 divisors (see below), whose sum is σ = 96504948288. Its totient is φ = 15986608000.

The previous prime is 42201244073. The next prime is 42201244133. The reversal of 42201244100 is 144210224.

42201244100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141467 + ... + 323133.

It is an arithmetic number, because the mean of its divisors is an integer number (1340346504).

Almost surely, 2^42201244100 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 42201244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48252474144).

42201244100 is an abundant number, since it is smaller than the sum of its proper divisors (54303704188).

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

42201244100 is a wasteful number, since it uses less digits than its factorization.

42201244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181805 (or 181798 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 42201244100 its reverse (144210224), we get a palindrome (42345454324).

It can be divided in two parts, 4220124 and 4100, that added together give a palindrome (4224224).

The spelling of 42201244100 in words is "forty-two billion, two hundred one million, two hundred forty-four thousand, one hundred".