121116116121 has 48 divisors (see below), whose sum is σ = 218014663680. Its totient is φ = 58077639360.

The previous prime is 121116116111. The next prime is 121116116129. The reversal of 121116116121 is 121611611121.

It is not a de Polignac number, because 121116116121 - 2⁶ = 121116116057 is a prime.

It is a super-2 number, since 2×121116116121² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121116116091 and 121116116100.

It is not an unprimeable number, because it can be changed into a prime (121116116129) 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, 1512181 + ... + 1590258.

It is an arithmetic number, because the mean of its divisors is an integer number (4541972160).

Almost surely, 2^121116116121 is an apocalyptic number.

121116116121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121116116121 is a deficient number, since it is larger than the sum of its proper divisors (96898547559).

121116116121 is a wasteful number, since it uses less digits than its factorization.

121116116121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102486 (or 3102473 counting only the distinct ones).

The product of its digits is 144, while the sum is 24.

Adding to 121116116121 its reverse (121611611121), we get a palindrome (242727727242).

The spelling of 121116116121 in words is "one hundred twenty-one billion, one hundred sixteen million, one hundred sixteen thousand, one hundred twenty-one".