121102210220121 has 288 divisors, whose sum is σ = 205727949100128. Its totient is φ = 68207518679040.

The previous prime is 121102210220023. The next prime is 121102210220143. The reversal of 121102210220121 is 121022012201121.

121102210220121 is a `hidden beast` number, since 1 + 2 + 110 + 2 + 210 + 220 + 121 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 91710578046096 + 29391632174025 = 9576564^2 + 5421405^2 .

It is not a de Polignac number, because 121102210220121 - 2¹⁰ = 121102210219097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121102210220094 and 121102210220103.

It is not an unprimeable number, because it can be changed into a prime (121102210220521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53091717501 + ... + 53091719781.

Almost surely, 2^{121102210220121} is an apocalyptic number.

It is an amenable number.

121102210220121 is a deficient number, since it is larger than the sum of its proper divisors (84625738880007).

121102210220121 is a wasteful number, since it uses less digits than its factorization.

121102210220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2681 counting only the distinct ones).

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

Adding to 121102210220121 its reverse (121022012201121), we get a palindrome (242124222421242).

The spelling of 121102210220121 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred ten million, two hundred twenty thousand, one hundred twenty-one".