112101 has 16 divisors (see below), whose sum is σ = 168960. Its totient is φ = 65520.

The previous prime is 112097. The next prime is 112103. The reversal of 112101 is 101211.

112101 is a nontrivial binomial coefficient, being equal to C(474, 2).

It is not a de Polignac number, because 112101 - 2^{2} = 112097 is a prime.

112101 is a lucky number.

It is a plaindrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380 + ... + 1458.

It is an arithmetic number, because the mean of its divisors is an integer number (10560).

2^{112101} is an apocalyptic number.

112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112101 is the 473-rd triangular number and also the 237-th hexagonal number.

It is an amenable number.

112101 is a deficient number, since it is larger than the sum of its proper divisors (56859).

112101 is a wasteful number, since it uses less digits than its factorization.

112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 112101 is about 334.8148742216. The cubic root of 112101 is about 48.2173304760.

Adding to 112101 its reverse (101211), we get a palindrome (213312).

Multiplying 112101 by its reverse (101211), we get a palindrome (11345854311).

It can be divided in two parts, 11210 and 1, that added together give a palindrome (11211).

The spelling of 112101 in words is "one hundred twelve thousand, one hundred one", and thus it is an iban number.

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