121111111121 has 48 divisors (see below), whose sum is σ = 165931089408. Its totient is φ = 86893632000.

The previous prime is 121111111103. The next prime is 121111111129.

121111111121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121111111121 - 2¹⁸ = 121110848977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121111111096 and 121111111105.

It is not an unprimeable number, because it can be changed into a prime (121111111129) 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, 2788256 + ... + 2831358.

It is an arithmetic number, because the mean of its divisors is an integer number (3456897696).

Almost surely, 2^121111111121 is an apocalyptic number.

121111111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121111111121 is a deficient number, since it is larger than the sum of its proper divisors (44819978287).

121111111121 is a wasteful number, since it uses less digits than its factorization.

121111111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43542 (or 43535 counting only the distinct ones).

The product of its digits is 4, while the sum is 14.

It can be divided in two parts, 121111 and 111121, that multiplied together give a palindrome (13457975431).

The spelling of 121111111121 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".