121221242122121 has 8 divisors (see below), whose sum is σ = 123778754589864. Its totient is φ = 118687971479040.

The previous prime is 121221242122081. The next prime is 121221242122159.

121221242122121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 27668241723721 + 93553000398400 = 5260061^2 + 9672280^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121221242122121 - 2¹⁴ = 121221242105737 is a prime.

It is a super-3 number, since 3×121221242122121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121221242128121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6060446060 + ... + 6060466061.

It is an arithmetic number, because the mean of its divisors is an integer number (15472344323733).

Almost surely, 2^{121221242122121} is an apocalyptic number.

It is an amenable number.

121221242122121 is a deficient number, since it is larger than the sum of its proper divisors (2557512467743).

121221242122121 is a wasteful number, since it uses less digits than its factorization.

121221242122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12120912331.

The product of its digits is 1024, while the sum is 26.

The spelling of 121221242122121 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred forty-two million, one hundred twenty-two thousand, one hundred twenty-one".