121211242112121 has 32 divisors (see below), whose sum is σ = 185662631043840. Its totient is φ = 68903657938944.

The previous prime is 121211242112101. The next prime is 121211242112161.

121211242112121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121211242112121 - 2¹⁰ = 121211242111097 is a prime.

It is a super-2 number, since 2×121211242112121² (a number of 29 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 = 121211242112091 and 121211242112100.

It is not an unprimeable number, because it can be changed into a prime (121211242112101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331567525 + ... + 331932893.

It is an arithmetic number, because the mean of its divisors is an integer number (5801957220120).

Almost surely, 2^{121211242112121} is an apocalyptic number.

It is an amenable number.

121211242112121 is a deficient number, since it is larger than the sum of its proper divisors (64451388931719).

121211242112121 is a wasteful number, since it uses less digits than its factorization.

121211242112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447425.

The product of its digits is 256, while the sum is 24.

The spelling of 121211242112121 in words is "one hundred twenty-one trillion, two hundred eleven billion, two hundred forty-two million, one hundred twelve thousand, one hundred twenty-one".