122100112001117 has 2 divisors, whose sum is σ = 122100112001118. Its totient is φ = 122100112001116.

The previous prime is 122100112001093. The next prime is 122100112001171. The reversal of 122100112001117 is 711100211001221.

It is a happy number.

Together with next prime (122100112001171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82526123503321 + 39573988497796 = 9084389^2 + 6290786^2 .

It is an emirp because it is prime and its reverse (711100211001221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122100112001117 - 2³⁶ = 122031392524381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122100112000117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050056000558 + 61050056000559.

It is an arithmetic number, because the mean of its divisors is an integer number (61050056000559).

Almost surely, 2^{122100112001117} is an apocalyptic number.

It is an amenable number.

122100112001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100112001117 is an equidigital number, since it uses as much as digits as its factorization.

122100112001117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 122100112001117 its reverse (711100211001221), we get a palindrome (833200323002338).

The spelling of 122100112001117 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twelve million, one thousand, one hundred seventeen".