111022120112211 has 48 divisors (see below), whose sum is σ = 200069856679680. Its totient is φ = 57635198602560.

The previous prime is 111022120112171. The next prime is 111022120112219. The reversal of 111022120112211 is 112211021220111.

It is a happy number.

111022120112211 is a `hidden beast` number, since 1 + 110 + 221 + 201 + 122 + 11 = 666.

It is not a de Polignac number, because 111022120112211 - 2¹¹ = 111022120110163 is a prime.

It is a super-2 number, since 2×111022120112211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111022120112219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52617421 + ... + 54686718.

It is an arithmetic number, because the mean of its divisors is an integer number (4168122014160).

Almost surely, 2^{111022120112211} is an apocalyptic number.

111022120112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111022120112211 is a deficient number, since it is larger than the sum of its proper divisors (89047736567469).

111022120112211 is a wasteful number, since it uses less digits than its factorization.

111022120112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107305656 (or 107305653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111022120112211 its reverse (112211021220111), we get a palindrome (223233141332322).

The spelling of 111022120112211 in words is "one hundred eleven trillion, twenty-two billion, one hundred twenty million, one hundred twelve thousand, two hundred eleven".