42321334002100 has 144 divisors (see below), whose sum is σ = 95224928339520. Its totient is φ = 16306825651200.

The previous prime is 42321334002037. The next prime is 42321334002109. The reversal of 42321334002100 is 120043312324.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42321334002109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5294795704 + ... + 5294803696.

It is an arithmetic number, because the mean of its divisors is an integer number (661284224580).

Almost surely, 2^{42321334002100} 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 42321334002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47612464169760).

42321334002100 is an abundant number, since it is smaller than the sum of its proper divisors (52903594337420).

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

42321334002100 is a wasteful number, since it uses less digits than its factorization.

42321334002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12050 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 42321334002100 its reverse (120043312324), we get a palindrome (42441377314424).

The spelling of 42321334002100 in words is "forty-two trillion, three hundred twenty-one billion, three hundred thirty-four million, two thousand, one hundred".