42121342100 has 72 divisors (see below), whose sum is σ = 95422017600. Its totient is φ = 16108449280.

The previous prime is 42121342099. The next prime is 42121342103. The reversal of 42121342100 is 124312124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42121342103) 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, 9310439 + ... + 9314961.

It is an arithmetic number, because the mean of its divisors is an integer number (1325305800).

Almost surely, 2^42121342100 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 42121342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47711008800).

42121342100 is an abundant number, since it is smaller than the sum of its proper divisors (53300675500).

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

42121342100 is a wasteful number, since it uses less digits than its factorization.

42121342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42121342100 its reverse (124312124), we get a palindrome (42245654224).

The spelling of 42121342100 in words is "forty-two billion, one hundred twenty-one million, three hundred forty-two thousand, one hundred".