112100022221211 has 48 divisors (see below), whose sum is σ = 167971931206560. Its totient is φ = 71982069465600.

The previous prime is 112100022221153. The next prime is 112100022221219. The reversal of 112100022221211 is 112122220001211.

112100022221211 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 0 + 22 + 221 + 211 = 666.

It is not a de Polignac number, because 112100022221211 - 2¹⁷ = 112100022090139 is a prime.

It is a super-4 number, since 4×112100022221211⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (112100022221219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212397895 + ... + 212925023.

It is an arithmetic number, because the mean of its divisors is an integer number (3499415233470).

Almost surely, 2^{112100022221211} is an apocalyptic number.

112100022221211 is a deficient number, since it is larger than the sum of its proper divisors (55871908985349).

112100022221211 is a wasteful number, since it uses less digits than its factorization.

112100022221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533596 (or 533593 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112100022221211 its reverse (112122220001211), we get a palindrome (224222242222422).

The spelling of 112100022221211 in words is "one hundred twelve trillion, one hundred billion, twenty-two million, two hundred twenty-one thousand, two hundred eleven".