112100100111 has 48 divisors (see below), whose sum is σ = 176275507200. Its totient is φ = 68416156224.

The previous prime is 112100100089. The next prime is 112100100127. The reversal of 112100100111 is 111001001211.

It is not a de Polignac number, because 112100100111 - 2²⁶ = 112032991247 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 = 112100100093 and 112100100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100100181) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 546645 + ... + 723201.

It is an arithmetic number, because the mean of its divisors is an integer number (3672406400).

Almost surely, 2^112100100111 is an apocalyptic number.

112100100111 is a deficient number, since it is larger than the sum of its proper divisors (64175407089).

112100100111 is a wasteful number, since it uses less digits than its factorization.

112100100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176708 (or 176705 counting only the distinct ones).

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

Adding to 112100100111 its reverse (111001001211), we get a palindrome (223101101322).

The spelling of 112100100111 in words is "one hundred twelve billion, one hundred million, one hundred thousand, one hundred eleven".