121112101121 has 16 divisors (see below), whose sum is σ = 142620773760. Its totient is φ = 101683317120.

The previous prime is 121112101093. The next prime is 121112101139. The reversal of 121112101121 is 121101211121.

It is a de Polignac number, because none of the positive numbers 2^k-121112101121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121112101096 and 121112101105.

It is not an unprimeable number, because it can be changed into a prime (121112101171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8246180 + ... + 8260853.

It is an arithmetic number, because the mean of its divisors is an integer number (8913798360).

Almost surely, 2^121112101121 is an apocalyptic number.

121112101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121112101121 is a deficient number, since it is larger than the sum of its proper divisors (21508672639).

121112101121 is a wasteful number, since it uses less digits than its factorization.

121112101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16507096.

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

Adding to 121112101121 its reverse (121101211121), we get a palindrome (242213312242).

Subtracting from 121112101121 its reverse (121101211121), we obtain a square (10890000 = 3300²).

The spelling of 121112101121 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred one thousand, one hundred twenty-one".