111022022122011 has 96 divisors (see below), whose sum is σ = 215320783222272. Its totient is φ = 53236011386880.

The previous prime is 111022022122003. The next prime is 111022022122051. The reversal of 111022022122011 is 110221220220111.

111022022122011 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 220 + 221 + 220 + 1 + 1 = 666.

It is not a de Polignac number, because 111022022122011 - 2³ = 111022022122003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111022022122051) 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 95 ways as a sum of consecutive naturals, for example, 429717276 + ... + 429975558.

It is an arithmetic number, because the mean of its divisors is an integer number (2242924825232).

Almost surely, 2^{111022022122011} is an apocalyptic number.

111022022122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111022022122011 is a deficient number, since it is larger than the sum of its proper divisors (104298761100261).

111022022122011 is a wasteful number, since it uses less digits than its factorization.

111022022122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306033 (or 306030 counting only the distinct ones).

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

Adding to 111022022122011 its reverse (110221220220111), we get a palindrome (221243242342122).

The spelling of 111022022122011 in words is "one hundred eleven trillion, twenty-two billion, twenty-two million, one hundred twenty-two thousand, eleven".