122101321121311 has 8 divisors (see below), whose sum is σ = 139713102633600. Its totient is φ = 104531723518488.

The previous prime is 122101321121257. The next prime is 122101321121327. The reversal of 122101321121311 is 113121123101221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122101321121311 - 2¹⁷ = 122101320990239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101321121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10545971161 + ... + 10545982738.

It is an arithmetic number, because the mean of its divisors is an integer number (17464137829200).

Almost surely, 2^{122101321121311} is an apocalyptic number.

122101321121311 is a deficient number, since it is larger than the sum of its proper divisors (17611781512289).

122101321121311 is an equidigital number, since it uses as much as digits as its factorization.

122101321121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21091954733.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 122101321121311 its reverse (113121123101221), we get a palindrome (235222444222532).

The spelling of 122101321121311 in words is "one hundred twenty-two trillion, one hundred one billion, three hundred twenty-one million, one hundred twenty-one thousand, three hundred eleven".