42100334120 has 64 divisors (see below), whose sum is σ = 102275082000. Its totient is φ = 15504703488.

The previous prime is 42100334117. The next prime is 42100334123. The reversal of 42100334120 is 2143300124.

It is an interprime number because it is at equal distance from previous prime (42100334117) and next prime (42100334123).

It can be written as a sum of positive squares in 8 ways, for example, as 203975524 + 41896358596 = 14282^2 + 204686^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42100334092 and 42100334101.

It is not an unprimeable number, because it can be changed into a prime (42100334123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98216 + ... + 306344.

Almost surely, 2^42100334120 is an apocalyptic number.

42100334120 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 42100334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51137541000).

42100334120 is an abundant number, since it is smaller than the sum of its proper divisors (60174747880).

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

42100334120 is a wasteful number, since it uses less digits than its factorization.

42100334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208542 (or 208538 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 42100334120 its reverse (2143300124), we get a palindrome (44243634244).

The spelling of 42100334120 in words is "forty-two billion, one hundred million, three hundred thirty-four thousand, one hundred twenty".