101112100111 has 12 divisors (see below), whose sum is σ = 111377795256. Its totient is φ = 91723208720.

The previous prime is 101112100099. The next prime is 101112100121. The reversal of 101112100111 is 111001211101.

It is not a de Polignac number, because 101112100111 - 2¹³ = 101112091919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 838180 + ... + 951193.

It is an arithmetic number, because the mean of its divisors is an integer number (9281482938).

Almost surely, 2^101112100111 is an apocalyptic number.

101112100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112100111 is a deficient number, since it is larger than the sum of its proper divisors (10265695145).

101112100111 is a wasteful number, since it uses less digits than its factorization.

101112100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789862 (or 1789851 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101112100111 its reverse (111001211101), we get a palindrome (212113311212).

The spelling of 101112100111 in words is "one hundred one billion, one hundred twelve million, one hundred thousand, one hundred eleven".