110241020144100 has 72 divisors (see below), whose sum is σ = 319302981926208. Its totient is φ = 29366364483200.

The previous prime is 110241020144029. The next prime is 110241020144131. The reversal of 110241020144100 is 1441020142011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194972784 + ... + 195537383.

It is an arithmetic number, because the mean of its divisors is an integer number (4434763637864).

Almost surely, 2^{110241020144100} is an apocalyptic number.

110241020144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110241020144100 is an abundant number, since it is smaller than the sum of its proper divisors (209061961782108).

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

110241020144100 is a wasteful number, since it uses less digits than its factorization.

110241020144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390511125 (or 390511118 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 110241020144100 its reverse (1441020142011), we get a palindrome (111682040286111).

The spelling of 110241020144100 in words is "one hundred ten trillion, two hundred forty-one billion, twenty million, one hundred forty-four thousand, one hundred".