121102220102121 has 24 divisors (see below), whose sum is σ = 179875211897160. Its totient is φ = 78455692613376.

The previous prime is 121102220102033. The next prime is 121102220102137. The reversal of 121102220102121 is 121201022201121.

121102220102121 is a `hidden beast` number, since 121 + 102 + 220 + 10 + 212 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99967282676496 + 21134937425625 = 9998364^2 + 4597275^2 .

It is not a de Polignac number, because 121102220102121 - 2²⁶ = 121102152993257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121102220102094 and 121102220102103.

It is not an unprimeable number, because it can be changed into a prime (121102220102161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224495950 + ... + 225034743.

It is an arithmetic number, because the mean of its divisors is an integer number (7494800495715).

Almost surely, 2^{121102220102121} is an apocalyptic number.

It is an amenable number.

121102220102121 is a deficient number, since it is larger than the sum of its proper divisors (58772991795039).

121102220102121 is a wasteful number, since it uses less digits than its factorization.

121102220102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449531545 (or 449531542 counting only the distinct ones).

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

Adding to 121102220102121 its reverse (121201022201121), we get a palindrome (242303242303242).

The spelling of 121102220102121 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred twenty million, one hundred two thousand, one hundred twenty-one".