122121113300221 has 32 divisors (see below), whose sum is σ = 147823217837568. Its totient is φ = 98486940026880.

The previous prime is 122121113300177. The next prime is 122121113300261. The reversal of 122121113300221 is 122003311121221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122121113300221 - 2¹⁷ = 122121113169149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122121113300192 and 122121113300201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121113300261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9370139521 + ... + 9370152553.

It is an arithmetic number, because the mean of its divisors is an integer number (4619475557424).

Almost surely, 2^{122121113300221} is an apocalyptic number.

It is an amenable number.

122121113300221 is a deficient number, since it is larger than the sum of its proper divisors (25702104537347).

122121113300221 is a wasteful number, since it uses less digits than its factorization.

122121113300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31741.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 122121113300221 its reverse (122003311121221), we get a palindrome (244124424421442).

The spelling of 122121113300221 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred thirteen million, three hundred thousand, two hundred twenty-one".