101142241101 has 24 divisors (see below), whose sum is σ = 159681637440. Its totient is φ = 61180641600.

The previous prime is 101142241099. The next prime is 101142241111.

101142241101 is a `hidden beast` number, since 101 + 1 + 422 + 41 + 101 = 666.

101142241101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101142241101 - 2¹ = 101142241099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142241111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 928881 + ... + 1032038.

It is an arithmetic number, because the mean of its divisors is an integer number (6653401560).

Almost surely, 2^101142241101 is an apocalyptic number.

101142241101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101142241101 is a deficient number, since it is larger than the sum of its proper divisors (58539396339).

101142241101 is a wasteful number, since it uses less digits than its factorization.

101142241101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961457 (or 1961454 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, 101142 and 241101, that added together give a palindrome (342243).

The spelling of 101142241101 in words is "one hundred one billion, one hundred forty-two million, two hundred forty-one thousand, one hundred one".