122001012110221 has 8 divisors (see below), whose sum is σ = 122512880538360. Its totient is φ = 121490160304128.

The previous prime is 122001012110213. The next prime is 122001012110323. The reversal of 122001012110221 is 122011210100221.

It can be written as a sum of positive squares in 4 ways, for example, as 8744120100 + 121992267990121 = 93510^2 + 11045011^2 .

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 122001012110221 - 2³ = 122001012110213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122001012110195 and 122001012110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001012170221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253914996 + ... + 254395021.

It is an arithmetic number, because the mean of its divisors is an integer number (15314110067295).

Almost surely, 2^{122001012110221} is an apocalyptic number.

It is an amenable number.

122001012110221 is a deficient number, since it is larger than the sum of its proper divisors (511868428139).

122001012110221 is an equidigital number, since it uses as much as digits as its factorization.

122001012110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508311023.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122001012110221 its reverse (122011210100221), we get a palindrome (244012222210442).

The spelling of 122001012110221 in words is "one hundred twenty-two trillion, one billion, twelve million, one hundred ten thousand, two hundred twenty-one".