42130241120100 has 288 divisors, whose sum is σ = 139892062334976. Its totient is φ = 9589601894400.

The previous prime is 42130241120083. The next prime is 42130241120113. The reversal of 42130241120100 is 102114203124.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2408672355 + ... + 2408689845.

It is an arithmetic number, because the mean of its divisors is an integer number (485736327552).

Almost surely, 2^{42130241120100} 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 42130241120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69946031167488).

42130241120100 is an abundant number, since it is smaller than the sum of its proper divisors (97761821214876).

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

42130241120100 is a wasteful number, since it uses less digits than its factorization.

42130241120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22235 (or 22228 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 42130241120100 its reverse (102114203124), we get a palindrome (42232355323224).

The spelling of 42130241120100 in words is "forty-two trillion, one hundred thirty billion, two hundred forty-one million, one hundred twenty thousand, one hundred".