112112022121011 has 176 divisors, whose sum is σ = 185547538771200. Its totient is φ = 67174337655360.

The previous prime is 112112022120991. The next prime is 112112022121051. The reversal of 112112022121011 is 110121220211211.

It is a happy number.

112112022121011 is a `hidden beast` number, since 1 + 1 + 211 + 20 + 221 + 210 + 1 + 1 = 666.

It is not a de Polignac number, because 112112022121011 - 2²¹ = 112112020023859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112022121051) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 41630901781 + ... + 41630904473.

Almost surely, 2^{112112022121011} is an apocalyptic number.

112112022121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112112022121011 is a deficient number, since it is larger than the sum of its proper divisors (73435516650189).

112112022121011 is an equidigital number, since it uses as much as digits as its factorization.

112112022121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3413 counting only the distinct ones).

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

Adding to 112112022121011 its reverse (110121220211211), we get a palindrome (222233242332222).

The spelling of 112112022121011 in words is "one hundred twelve trillion, one hundred twelve billion, twenty-two million, one hundred twenty-one thousand, eleven".