121111202111121 has 24 divisors (see below), whose sum is σ = 179672151547200. Its totient is φ = 78556132470816.

The previous prime is 121111202111071. The next prime is 121111202111129.

121111202111121 is a `hidden beast` number, since 1 + 211 + 1 + 120 + 211 + 1 + 121 = 666.

121111202111121 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-121111202111121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121111202111094 and 121111202111103.

It is not an unprimeable number, because it can be changed into a prime (121111202111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4819036 + ... + 16292498.

It is an arithmetic number, because the mean of its divisors is an integer number (7486339647800).

Almost surely, 2^{121111202111121} is an apocalyptic number.

It is an amenable number.

121111202111121 is a deficient number, since it is larger than the sum of its proper divisors (58560949436079).

121111202111121 is a wasteful number, since it uses less digits than its factorization.

121111202111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505205 (or 11505202 counting only the distinct ones).

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

It can be divided in two parts, 12111120 and 2111121, that added together give a palindrome (14222241).

The spelling of 121111202111121 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred two million, one hundred eleven thousand, one hundred twenty-one".