101110001112 has 64 divisors (see below), whose sum is σ = 280904409600. Its totient is φ = 33698138400.

The previous prime is 101110001087. The next prime is 101110001117. The reversal of 101110001112 is 211100011101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110001094 and 101110001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110001117) 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 15 ways as a sum of consecutive naturals, for example, 1524237 + ... + 1589187.

It is an arithmetic number, because the mean of its divisors is an integer number (4389131400).

Almost surely, 2^101110001112 is an apocalyptic number.

101110001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101110001112 is an abundant number, since it is smaller than the sum of its proper divisors (179794408488).

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

101110001112 is a wasteful number, since it uses less digits than its factorization.

101110001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72173 (or 72163 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101110001112 its reverse (211100011101), we get a palindrome (312210012213).

The spelling of 101110001112 in words is "one hundred one billion, one hundred ten million, one thousand, one hundred twelve".