100542510441120 has 384 divisors, whose sum is σ = 363361207910400. Its totient is φ = 23130625351680.

The previous prime is 100542510441119. The next prime is 100542510441167. The reversal of 100542510441120 is 21144015245001.

It is a super-3 number, since 3×100542510441120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 12163356 + ... + 18682404.

It is an arithmetic number, because the mean of its divisors is an integer number (946253145600).

Almost surely, 2^{100542510441120} is an apocalyptic number.

100542510441120 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 100542510441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181680603955200).

100542510441120 is an abundant number, since it is smaller than the sum of its proper divisors (262818697469280).

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

100542510441120 is a wasteful number, since it uses less digits than its factorization.

100542510441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519228 (or 6519220 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 100542510441120 its reverse (21144015245001), we get a palindrome (121686525686121).

The spelling of 100542510441120 in words is "one hundred trillion, five hundred forty-two billion, five hundred ten million, four hundred forty-one thousand, one hundred twenty".