112101121221111 has 192 divisors, whose sum is σ = 188787110313984. Its totient is φ = 63455514566400.

The previous prime is 112101121221091. The next prime is 112101121221151. The reversal of 112101121221111 is 111122121101211.

112101121221111 is a `hidden beast` number, since 1 + 1 + 210 + 1 + 121 + 221 + 111 = 666.

It is not a de Polignac number, because 112101121221111 - 2¹¹ = 112101121219063 is a prime.

It is a super-2 number, since 2×112101121221111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101121221151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7166208456 + ... + 7166224098.

It is an arithmetic number, because the mean of its divisors is an integer number (983266199552).

Almost surely, 2^{112101121221111} is an apocalyptic number.

112101121221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112101121221111 is a deficient number, since it is larger than the sum of its proper divisors (76685989092873).

112101121221111 is a wasteful number, since it uses less digits than its factorization.

112101121221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16234 (or 16231 counting only the distinct ones).

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

Adding to 112101121221111 its reverse (111122121101211), we get a palindrome (223223242322322).

The spelling of 112101121221111 in words is "one hundred twelve trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred eleven".