101440131111 has 96 divisors (see below), whose sum is σ = 176336294400. Its totient is φ = 57420316800.

The previous prime is 101440131103. The next prime is 101440131127. The reversal of 101440131111 is 111131044101.

101440131111 is a `hidden beast` number, since 101 + 440 + 13 + 1 + 111 = 666.

It is not a de Polignac number, because 101440131111 - 2³ = 101440131103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101440131311) 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 95 ways as a sum of consecutive naturals, for example, 4395675 + ... + 4418691.

It is an arithmetic number, because the mean of its divisors is an integer number (1836836400).

Almost surely, 2^101440131111 is an apocalyptic number.

101440131111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101440131111 is a deficient number, since it is larger than the sum of its proper divisors (74896163289).

101440131111 is a wasteful number, since it uses less digits than its factorization.

101440131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23138 (or 23121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101440131111 its reverse (111131044101), we get a palindrome (212571175212).

The spelling of 101440131111 in words is "one hundred one billion, four hundred forty million, one hundred thirty-one thousand, one hundred eleven".