42121100 has 72 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 13677120.

The previous prime is 42121099. The next prime is 42121147. The reversal of 42121100 is 112124.

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, 11717 + ... + 14883.

It is an arithmetic number, because the mean of its divisors is an integer number (1527680).

Almost surely, 2^42121100 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 42121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

42121100 is an abundant number, since it is smaller than the sum of its proper divisors (67871860).

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

42121100 is a wasteful number, since it uses less digits than its factorization.

42121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 42121100 is about 6490.0770411452. The cubic root of 42121100 is about 347.9364286925.

Adding to 42121100 its reverse (112124), we get a palindrome (42233224).

The spelling of 42121100 in words is "forty-two million, one hundred twenty-one thousand, one hundred".