112111100101 has 16 divisors (see below), whose sum is σ = 150526793088. Its totient is φ = 80639352000.

The previous prime is 112111100039. The next prime is 112111100147. The reversal of 112111100101 is 101001111211.

It is a cyclic number.

It is not a de Polignac number, because 112111100101 - 2⁹ = 112111099589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111109101) 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, 55998550 + ... + 56000551.

It is an arithmetic number, because the mean of its divisors is an integer number (9407924568).

Almost surely, 2^112111100101 is an apocalyptic number.

112111100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112111100101 is a deficient number, since it is larger than the sum of its proper divisors (38415692987).

112111100101 is a wasteful number, since it uses less digits than its factorization.

112111100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111999132.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 112111100101 its reverse (101001111211), we get a palindrome (213112211312).

It can be divided in two parts, 112111 and 100101, that added together give a palindrome (212212).

The spelling of 112111100101 in words is "one hundred twelve billion, one hundred eleven million, one hundred thousand, one hundred one".