42133102110 has 192 divisors, whose sum is σ = 130133952000. Its totient is φ = 9342708480.

The previous prime is 42133102097. The next prime is 42133102111. The reversal of 42133102110 is 1120133124.

42133102110 is a `hidden beast` number, since 421 + 3 + 31 + 0 + 211 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 506871 + ... + 584109.

It is an arithmetic number, because the mean of its divisors is an integer number (677781000).

Almost surely, 2^42133102110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42133102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65066976000).

42133102110 is an abundant number, since it is smaller than the sum of its proper divisors (88000849890).

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

42133102110 is a wasteful number, since it uses less digits than its factorization.

42133102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77311 (or 77308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 42133102110 its reverse (1120133124), we get a palindrome (43253235234).

The spelling of 42133102110 in words is "forty-two billion, one hundred thirty-three million, one hundred two thousand, one hundred ten".