112101321321 has 18 divisors (see below), whose sum is σ = 177982724010. Its totient is φ = 67940194080.

The previous prime is 112101321281. The next prime is 112101321349. The reversal of 112101321321 is 123123101211.

112101321321 is a `hidden beast` number, since 1 + 1 + 21 + 0 + 1 + 321 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104694309225 + 7407012096 = 323565^2 + 86064^2 .

It is a de Polignac number, because none of the positive numbers 2^k-112101321321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112101321294 and 112101321303.

It is not an unprimeable number, because it can be changed into a prime (112101321121) 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 17 ways as a sum of consecutive naturals, for example, 51468756 + ... + 51470933.

Almost surely, 2^112101321321 is an apocalyptic number.

112101321321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112101321321 is a deficient number, since it is larger than the sum of its proper divisors (65881402689).

112101321321 is a wasteful number, since it uses less digits than its factorization.

112101321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102939717 (or 102939703 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112101321321 its reverse (123123101211), we get a palindrome (235224422532).

The spelling of 112101321321 in words is "one hundred twelve billion, one hundred one million, three hundred twenty-one thousand, three hundred twenty-one".