121101112021117 has 2 divisors, whose sum is σ = 121101112021118. Its totient is φ = 121101112021116.

The previous prime is 121101112021007. The next prime is 121101112021171. The reversal of 121101112021117 is 711120211101121.

It is a happy number.

Together with next prime (121101112021171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106657380180036 + 14443731841081 = 10327506^2 + 3800491^2 .

It is an emirp because it is prime and its reverse (711120211101121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121101112021117 - 2¹⁵ = 121101111988349 is a prime.

It is a super-2 number, since 2×121101112021117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121101112021717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550556010558 + 60550556010559.

It is an arithmetic number, because the mean of its divisors is an integer number (60550556010559).

Almost surely, 2^{121101112021117} is an apocalyptic number.

It is an amenable number.

121101112021117 is a deficient number, since it is larger than the sum of its proper divisors (1).

121101112021117 is an equidigital number, since it uses as much as digits as its factorization.

121101112021117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 22.

Adding to 121101112021117 its reverse (711120211101121), we get a palindrome (832221323122238).

The spelling of 121101112021117 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twelve million, twenty-one thousand, one hundred seventeen".