101111000112 has 100 divisors (see below), whose sum is σ = 293784231576. Its totient is φ = 33572413440.

The previous prime is 101111000099. The next prime is 101111000129. The reversal of 101111000112 is 211000111101.

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 = 101111000094 and 101111000103.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 181287 + ... + 484857.

Almost surely, 2^101111000112 is an apocalyptic number.

101111000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146892115788).

101111000112 is an abundant number, since it is smaller than the sum of its proper divisors (192673231464).

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

101111000112 is a wasteful number, since it uses less digits than its factorization.

101111000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303848 (or 303833 counting only the distinct ones).

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

Adding to 101111000112 its reverse (211000111101), we get a palindrome (312111111213).

The spelling of 101111000112 in words is "one hundred one billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.