42101100 has 144 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 10843200.

The previous prime is 42101099. The next prime is 42101113. The reversal of 42101100 is 110124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83449 + ... + 83951.

It is an arithmetic number, because the mean of its divisors is an integer number (972160).

Almost surely, 2^42101100 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 42101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

42101100 is an abundant number, since it is smaller than the sum of its proper divisors (97889940).

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

42101100 is a wasteful number, since it uses less digits than its factorization.

42101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 42101100 is about 6488.5360444402. The cubic root of 42101100 is about 347.8813507525.

Adding to 42101100 its reverse (110124), we get a palindrome (42211224).

The spelling of 42101100 in words is "forty-two million, one hundred one thousand, one hundred".