112100122013211 has 24 divisors (see below), whose sum is σ = 163267658351616. Its totient is φ = 74114506010160.

The previous prime is 112100122013179. The next prime is 112100122013221. The reversal of 112100122013211 is 112310221001211.

It is a happy number.

112100122013211 is a `hidden beast` number, since 1 + 121 + 0 + 0 + 1 + 220 + 1 + 321 + 1 = 666.

It is not a de Polignac number, because 112100122013211 - 2⁵ = 112100122013179 is a prime.

It is a super-3 number, since 3×112100122013211³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112100122013221) 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 23 ways as a sum of consecutive naturals, for example, 81841875 + ... + 83200316.

It is an arithmetic number, because the mean of its divisors is an integer number (6802819097984).

Almost surely, 2^{112100122013211} is an apocalyptic number.

112100122013211 is a deficient number, since it is larger than the sum of its proper divisors (51167536338405).

112100122013211 is a wasteful number, since it uses less digits than its factorization.

112100122013211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165042823 (or 165042820 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112100122013211 its reverse (112310221001211), we get a palindrome (224410343014422).

The spelling of 112100122013211 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-two million, thirteen thousand, two hundred eleven".