10011101112 has 48 divisors (see below), whose sum is σ = 27149176080. Its totient is φ = 3332630400.

The previous prime is 10011101099. The next prime is 10011101123. The reversal of 10011101112 is 21110111001.

10011101112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10011101094 and 10011101103.

It is a congruent number.

It is an unprimeable number.

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, 36564 + ... + 146147.

It is an arithmetic number, because the mean of its divisors is an integer number (565607835).

Almost surely, 2^10011101112 is an apocalyptic number.

10011101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011101112 is an abundant number, since it is smaller than the sum of its proper divisors (17138074968).

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

10011101112 is a wasteful number, since it uses less digits than its factorization.

10011101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183484 (or 183477 counting only the distinct ones).

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

Adding to 10011101112 its reverse (21110111001), we get a palindrome (31121212113).

The spelling of 10011101112 in words is "ten billion, eleven million, one hundred one thousand, one hundred twelve".