112101221211111 has 128 divisors (see below), whose sum is σ = 191389722624000. Its totient is φ = 64134961228800.

The previous prime is 112101221211019. The next prime is 112101221211143. The reversal of 112101221211111 is 111112122101211.

112101221211111 is a `hidden beast` number, since 1 + 121 + 0 + 1 + 221 + 211 + 111 = 666.

It is not a de Polignac number, because 112101221211111 - 2⁹ = 112101221210599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101221211011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2358959031 + ... + 2359006551.

It is an arithmetic number, because the mean of its divisors is an integer number (1495232208000).

Almost surely, 2^{112101221211111} is an apocalyptic number.

112101221211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112101221211111 is a deficient number, since it is larger than the sum of its proper divisors (79288501412889).

112101221211111 is a wasteful number, since it uses less digits than its factorization.

112101221211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49042 (or 49036 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 112101221211111 its reverse (111112122101211), we get a palindrome (223213343312322).

The spelling of 112101221211111 in words is "one hundred twelve trillion, one hundred one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred eleven".