100242310552120 has 256 divisors, whose sum is σ = 253472660812800. Its totient is φ = 35368205783040.

The previous prime is 100242310552103. The next prime is 100242310552183. The reversal of 100242310552120 is 21255013242001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1775020204 + ... + 1775076676.

It is an arithmetic number, because the mean of its divisors is an integer number (990127581300).

Almost surely, 2^{100242310552120} is an apocalyptic number.

100242310552120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100242310552120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126736330406400).

100242310552120 is an abundant number, since it is smaller than the sum of its proper divisors (153230350260680).

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

100242310552120 is a wasteful number, since it uses less digits than its factorization.

100242310552120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57390 (or 57386 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 100242310552120 its reverse (21255013242001), we get a palindrome (121497323794121).

The spelling of 100242310552120 in words is "one hundred trillion, two hundred forty-two billion, three hundred ten million, five hundred fifty-two thousand, one hundred twenty".