112100122101011 has 48 divisors (see below), whose sum is σ = 134751002349600. Its totient is φ = 92816319214080.

The previous prime is 112100122101001. The next prime is 112100122101113. The reversal of 112100122101011 is 110101221001211.

It is not a de Polignac number, because 112100122101011 - 2³⁰ = 112099048359187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112100122101001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11926205 + ... + 19142481.

It is an arithmetic number, because the mean of its divisors is an integer number (2807312548950).

Almost surely, 2^{112100122101011} is an apocalyptic number.

112100122101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112100122101011 is a deficient number, since it is larger than the sum of its proper divisors (22650880248589).

112100122101011 is a wasteful number, since it uses less digits than its factorization.

112100122101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216580 (or 7216569 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112100122101011 its reverse (110101221001211), we get a palindrome (222201343102222).

The spelling of 112100122101011 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, eleven".