121201121102121 has 48 divisors (see below), whose sum is σ = 181588094010960. Its totient is φ = 77835113049600.

The previous prime is 121201121102071. The next prime is 121201121102129.

It is a happy number.

121201121102121 is a `hidden beast` number, since 121 + 201 + 121 + 10 + 212 + 1 = 666.

121201121102121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 13876079453721 + 107325041648400 = 3725061^2 + 10359780^2 .

It is not a de Polignac number, because 121201121102121 - 2³⁰ = 121200047360297 is a prime.

It is a super-2 number, since 2×121201121102121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121201121102094 and 121201121102103.

It is not an unprimeable number, because it can be changed into a prime (121201121102129) 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 47 ways as a sum of consecutive naturals, for example, 916534035 + ... + 916666263.

It is an arithmetic number, because the mean of its divisors is an integer number (3783085291895).

Almost surely, 2^{121201121102121} is an apocalyptic number.

It is an amenable number.

121201121102121 is a deficient number, since it is larger than the sum of its proper divisors (60386972908839).

121201121102121 is a wasteful number, since it uses less digits than its factorization.

121201121102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159626 (or 159623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 121201121102121 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".