42122100100 has 72 divisors (see below), whose sum is σ = 93239344800. Its totient is φ = 16512460800.

The previous prime is 42122100079. The next prime is 42122100101. The reversal of 42122100100 is 100122124.

It is a happy number.

42122100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42122100101) 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, 1942116 + ... + 1963684.

It is an arithmetic number, because the mean of its divisors is an integer number (1294990900).

Almost surely, 2^42122100100 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 42122100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46619672400).

42122100100 is an abundant number, since it is smaller than the sum of its proper divisors (51117244700).

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

42122100100 is a wasteful number, since it uses less digits than its factorization.

42122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21973 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 42122100100 its reverse (100122124), we get a palindrome (42222222224).

The spelling of 42122100100 in words is "forty-two billion, one hundred twenty-two million, one hundred thousand, one hundred".