42033101122100 has 288 divisors, whose sum is σ = 100772046176256. Its totient is φ = 15091513113600.

The previous prime is 42033101122099. The next prime is 42033101122151. The reversal of 42033101122100 is 122110133024.

It is a super-3 number, since 3×42033101122100³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25275465869 + ... + 25275467531.

It is an arithmetic number, because the mean of its divisors is an integer number (349902938112).

Almost surely, 2^{42033101122100} 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 42033101122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50386023088128).

42033101122100 is an abundant number, since it is smaller than the sum of its proper divisors (58738945054156).

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

42033101122100 is a wasteful number, since it uses less digits than its factorization.

42033101122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 42033101122100 its reverse (122110133024), we get a palindrome (42155211255124).

The spelling of 42033101122100 in words is "forty-two trillion, thirty-three billion, one hundred one million, one hundred twenty-two thousand, one hundred".