122113101321321 has 32 divisors (see below), whose sum is σ = 181399864117248. Its totient is φ = 72432632821440.

The previous prime is 122113101321317. The next prime is 122113101321353. The reversal of 122113101321321 is 123123101311221.

122113101321321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122113101321321 - 2² = 122113101321317 is a prime.

It is a super-2 number, since 2×122113101321321² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122113101321291 and 122113101321300.

It is not an unprimeable number, because it can be changed into a prime (122113101321301) 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, 204351451 + ... + 204948143.

It is an arithmetic number, because the mean of its divisors is an integer number (5668745753664).

Almost surely, 2^{122113101321321} is an apocalyptic number.

122113101321321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122113101321321 is a deficient number, since it is larger than the sum of its proper divisors (59286762795927).

122113101321321 is a wasteful number, since it uses less digits than its factorization.

122113101321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728701.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 122113101321321 its reverse (123123101311221), we get a palindrome (245236202632542).

The spelling of 122113101321321 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred one million, three hundred twenty-one thousand, three hundred twenty-one".