121122112102121 has 8 divisors (see below), whose sum is σ = 131904806612040. Its totient is φ = 110548790301312.

The previous prime is 121122112102093. The next prime is 121122112102177. The reversal of 121122112102121 is 121201211221121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9787136833600 + 111334975268521 = 3128440^2 + 10551539^2 .

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 121122112102121 - 2²² = 121122107907817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121122112102093 and 121122112102102.

It is not an unprimeable number, because it can be changed into a prime (121122112102921) 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, 52343176070 + ... + 52343178383.

It is an arithmetic number, because the mean of its divisors is an integer number (16488100826505).

Almost surely, 2^{121122112102121} is an apocalyptic number.

It is an amenable number.

121122112102121 is a deficient number, since it is larger than the sum of its proper divisors (10782694509919).

121122112102121 is a wasteful number, since it uses less digits than its factorization.

121122112102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104686354555.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 121122112102121 its reverse (121201211221121), we get a palindrome (242323323323242).

The spelling of 121122112102121 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".