121220101022121 has 12 divisors (see below), whose sum is σ = 176829322284420. Its totient is φ = 80013268000800.

The previous prime is 121220101022029. The next prime is 121220101022161.

121220101022121 is a `hidden beast` number, since 1 + 212 + 201 + 0 + 10 + 221 + 21 = 666.

121220101022121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 116462515568400 + 4757585453721 = 10791780^2 + 2181189^2 .

It is not a de Polignac number, because 121220101022121 - 2¹⁵ = 121220100989353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121220101022094 and 121220101022103.

It is not an unprimeable number, because it can be changed into a prime (121220101022161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66677722426 + ... + 66677724243.

It is an arithmetic number, because the mean of its divisors is an integer number (14735776857035).

Almost surely, 2^{121220101022121} is an apocalyptic number.

It is an amenable number.

121220101022121 is a deficient number, since it is larger than the sum of its proper divisors (55609221262299).

121220101022121 is a wasteful number, since it uses less digits than its factorization.

121220101022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133355446776 (or 133355446773 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 12122010 and 1022121, that added together give a palindrome (13144131).

The spelling of 121220101022121 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred one million, twenty-two thousand, one hundred twenty-one".