121201322121 has 48 divisors (see below), whose sum is σ = 192804049152. Its totient is φ = 72758476800.

The previous prime is 121201322117. The next prime is 121201322141. The reversal of 121201322121 is 121223102121.

121201322121 is a `hidden beast` number, since 1 + 21 + 201 + 322 + 121 = 666.

It is not a de Polignac number, because 121201322121 - 2² = 121201322117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121201322094 and 121201322103.

It is not an unprimeable number, because it can be changed into a prime (121201322141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4628361 + ... + 4654473.

It is an arithmetic number, because the mean of its divisors is an integer number (4016751024).

Almost surely, 2^121201322121 is an apocalyptic number.

121201322121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121201322121 is a deficient number, since it is larger than the sum of its proper divisors (71602727031).

121201322121 is a wasteful number, since it uses less digits than its factorization.

121201322121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26574 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121201322121 its reverse (121223102121), we get a palindrome (242424424242).

The spelling of 121201322121 in words is "one hundred twenty-one billion, two hundred one million, three hundred twenty-two thousand, one hundred twenty-one".