42332102112300 has 1152 divisors, whose sum is σ = 169106124515328. Its totient is φ = 7890296832000.

The previous prime is 42332102112257. The next prime is 42332102112323. The reversal of 42332102112300 is 321120123324.

It is a super-2 number, since 2×42332102112300² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 11255542420 + ... + 11255546180.

It is an arithmetic number, because the mean of its divisors is an integer number (146793510864).

Almost surely, 2^{42332102112300} 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 42332102112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84553062257664).

42332102112300 is an abundant number, since it is smaller than the sum of its proper divisors (126774022403028).

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

42332102112300 is a wasteful number, since it uses less digits than its factorization.

42332102112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4859 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42332102112300 its reverse (321120123324), we get a palindrome (42653222235624).

The spelling of 42332102112300 in words is "forty-two trillion, three hundred thirty-two billion, one hundred two million, one hundred twelve thousand, three hundred".