241101101142 has 96 divisors (see below), whose sum is σ = 584109410976. Its totient is φ = 71238105600.

The previous prime is 241101101113. The next prime is 241101101191.

241101101142 is a `hidden beast` number, since 2 + 411 + 0 + 110 + 1 + 142 = 666.

241101101142 is nontrivially palindromic in base 10.

241101101142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16009288 + ... + 16024340.

It is an arithmetic number, because the mean of its divisors is an integer number (6084473031).

Almost surely, 2^241101101142 is an apocalyptic number.

241101101142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 241101101142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292054705488).

241101101142 is an abundant number, since it is smaller than the sum of its proper divisors (343008309834).

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

241101101142 is a wasteful number, since it uses less digits than its factorization.

241101101142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17086 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 241101 and 101142, that added together give a palindrome (342243).

The spelling of 241101101142 in words is "two hundred forty-one billion, one hundred one million, one hundred one thousand, one hundred forty-two".