42133442100 has 72 divisors (see below), whose sum is σ = 122146036320. Its totient is φ = 11213470080.

The previous prime is 42133442063. The next prime is 42133442137. The reversal of 42133442100 is 124433124.

It is an interprime number because it is at equal distance from previous prime (42133442063) and next prime (42133442137).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14739 + ... + 290661.

Almost surely, 2^42133442100 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 42133442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61073018160).

42133442100 is an abundant number, since it is smaller than the sum of its proper divisors (80012594220).

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

42133442100 is a wasteful number, since it uses less digits than its factorization.

42133442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276449 (or 276442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42133442100 its reverse (124433124), we get a palindrome (42257875224).

The spelling of 42133442100 in words is "forty-two billion, one hundred thirty-three million, four hundred forty-two thousand, one hundred".