101110242322431 has 12 divisors (see below), whose sum is σ = 146416007219352. Its totient is φ = 67237037713296.

The previous prime is 101110242322423. The next prime is 101110242322433. The reversal of 101110242322431 is 134223242011101.

101110242322431 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 10 + 2 + 423 + 224 + 3 + 1 = 666.

It is not a de Polignac number, because 101110242322431 - 2³ = 101110242322423 is a prime.

It is a super-2 number, since 2×101110242322431² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110242322395 and 101110242322404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110242322433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14149204701 + ... + 14149211846.

It is an arithmetic number, because the mean of its divisors is an integer number (12201333934946).

Almost surely, 2^{101110242322431} is an apocalyptic number.

101110242322431 is a deficient number, since it is larger than the sum of its proper divisors (45305764896921).

101110242322431 is a wasteful number, since it uses less digits than its factorization.

101110242322431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28298416950 (or 28298416947 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101110242322431 its reverse (134223242011101), we get a palindrome (235333484333532).

The spelling of 101110242322431 in words is "one hundred one trillion, one hundred ten billion, two hundred forty-two million, three hundred twenty-two thousand, four hundred thirty-one".