112102101201211 has 12 divisors (see below), whose sum is σ = 123374269410336. Its totient is φ = 101783132747120.

The previous prime is 112102101201199. The next prime is 112102101201271.

112102101201211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112102101201211 - 2⁹ = 112102101200699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112102101201271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 581122915 + ... + 581315788.

It is an arithmetic number, because the mean of its divisors is an integer number (10281189117528).

Almost surely, 2^{112102101201211} is an apocalyptic number.

112102101201211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112102101201211 is a deficient number, since it is larger than the sum of its proper divisors (11272168209125).

112102101201211 is a wasteful number, since it uses less digits than its factorization.

112102101201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162439522 (or 1162439511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

It can be divided in two parts, 11210210 and 1201211, that added together give a palindrome (12411421).

The spelling of 112102101201211 in words is "one hundred twelve trillion, one hundred two billion, one hundred one million, two hundred one thousand, two hundred eleven".