42213310114100 has 144 divisors (see below), whose sum is σ = 99543273822720. Its totient is φ = 15479244633600.

The previous prime is 42213310114021. The next prime is 42213310114117. The reversal of 42213310114100 is 141101331224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880943342 + ... + 880991258.

It is an arithmetic number, because the mean of its divisors is an integer number (691272734880).

Almost surely, 2^{42213310114100} 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 42213310114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49771636911360).

42213310114100 is an abundant number, since it is smaller than the sum of its proper divisors (57329963708620).

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

42213310114100 is a wasteful number, since it uses less digits than its factorization.

42213310114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62938 (or 62931 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 42213310114100 its reverse (141101331224), we get a palindrome (42354411445324).

The spelling of 42213310114100 in words is "forty-two trillion, two hundred thirteen billion, three hundred ten million, one hundred fourteen thousand, one hundred".