121122102322221 has 384 divisors, whose sum is σ = 230392317542400. Its totient is φ = 56506788898560.

The previous prime is 121122102322219. The next prime is 121122102322229. The reversal of 121122102322221 is 122223201221121.

It is not a de Polignac number, because 121122102322221 - 2¹ = 121122102322219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121122102322191 and 121122102322200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122102322229) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8564095476 + ... + 8564109618.

It is an arithmetic number, because the mean of its divisors is an integer number (599979993600).

Almost surely, 2^{121122102322221} is an apocalyptic number.

121122102322221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122102322221 is a deficient number, since it is larger than the sum of its proper divisors (109270215220179).

121122102322221 is a wasteful number, since it uses less digits than its factorization.

121122102322221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14263 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 121122102322221 its reverse (122223201221121), we get a palindrome (243345303543342).

The spelling of 121122102322221 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred two million, three hundred twenty-two thousand, two hundred twenty-one".