42101120 has 64 divisors (see below), whose sum is σ = 101530800. Its totient is φ = 16693248.

The previous prime is 42101119. The next prime is 42101149. The reversal of 42101120 is 2110124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100271 + ... + 100689.

Almost surely, 2^42101120 is an apocalyptic number.

42101120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50765400).

42101120 is an abundant number, since it is smaller than the sum of its proper divisors (59429680).

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

42101120 is a wasteful number, since it uses less digits than its factorization.

42101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

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

The square root of 42101120 is about 6488.5375856197. The cubic root of 42101120 is about 347.8814058392.

Adding to 42101120 its reverse (2110124), we get a palindrome (44211244).

The spelling of 42101120 in words is "forty-two million, one hundred one thousand, one hundred twenty".