121211101112121 has 12 divisors (see below), whose sum is σ = 179814666515172. Its totient is φ = 78623416937376.

The previous prime is 121211101112077. The next prime is 121211101112141.

121211101112121 is a `hidden beast` number, since 121 + 211 + 10 + 111 + 212 + 1 = 666.

121211101112121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 62941374273600 + 58269726838521 = 7933560^2 + 7633461^2 .

It is not a de Polignac number, because 121211101112121 - 2⁷ = 121211101111993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121211101112094 and 121211101112103.

It is not an unprimeable number, because it can be changed into a prime (121211101112141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181998649986 + ... + 181998650651.

It is an arithmetic number, because the mean of its divisors is an integer number (14984555542931).

Almost surely, 2^{121211101112121} is an apocalyptic number.

It is an amenable number.

121211101112121 is a deficient number, since it is larger than the sum of its proper divisors (58603565403051).

121211101112121 is a wasteful number, since it uses less digits than its factorization.

121211101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363997300680 (or 363997300677 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, 12121110 and 1112121, that added together give a palindrome (13233231).

The spelling of 121211101112121 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".