10001112111 has 12 divisors (see below), whose sum is σ = 14453771592. Its totient is φ = 6663844656.

The previous prime is 10001112101. The next prime is 10001112127. The reversal of 10001112111 is 11121110001.

10001112111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001112111 - 2⁷ = 10001111983 is a prime.

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 = 10001112093 and 10001112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001112101) 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, 279121 + ... + 312906.

It is an arithmetic number, because the mean of its divisors is an integer number (1204480966).

Almost surely, 2^10001112111 is an apocalyptic number.

10001112111 is a deficient number, since it is larger than the sum of its proper divisors (4452659481).

10001112111 is a wasteful number, since it uses less digits than its factorization.

10001112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593910 (or 593907 counting only the distinct ones).

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

Adding to 10001112111 its reverse (11121110001), we get a palindrome (21122222112).

It can be divided in two parts, 1000 and 1112111, that added together give a palindrome (1113111).

The spelling of 10001112111 in words is "ten billion, one million, one hundred twelve thousand, one hundred eleven".