121112101122111 has 64 divisors (see below), whose sum is σ = 202055901511680. Its totient is φ = 71031702924000.

The previous prime is 121112101122079. The next prime is 121112101122137. The reversal of 121112101122111 is 111221101211121.

121112101122111 is a `hidden beast` number, since 1 + 211 + 1 + 210 + 11 + 221 + 11 = 666.

It is not a de Polignac number, because 121112101122111 - 2⁵ = 121112101122079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112101122191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425064466 + ... + 425349296.

It is an arithmetic number, because the mean of its divisors is an integer number (3157123461120).

Almost surely, 2^{121112101122111} is an apocalyptic number.

121112101122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121112101122111 is a deficient number, since it is larger than the sum of its proper divisors (80943800389569).

121112101122111 is a wasteful number, since it uses less digits than its factorization.

121112101122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331065 (or 331059 counting only the distinct ones).

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

Adding to 121112101122111 its reverse (111221101211121), we get a palindrome (232333202333232).

The spelling of 121112101122111 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred eleven".