121112010100117 has 2 divisors, whose sum is σ = 121112010100118. Its totient is φ = 121112010100116.

The previous prime is 121112010100093. The next prime is 121112010100139. The reversal of 121112010100117 is 711001010211121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108505576393201 + 12606433706916 = 10416601^2 + 3550554^2 .

It is a cyclic number.

It is not a de Polignac number, because 121112010100117 - 2⁷ = 121112010099989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121112010100094 and 121112010100103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121112010109117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556005050058 + 60556005050059.

It is an arithmetic number, because the mean of its divisors is an integer number (60556005050059).

Almost surely, 2^{121112010100117} is an apocalyptic number.

It is an amenable number.

121112010100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

121112010100117 is an equidigital number, since it uses as much as digits as its factorization.

121112010100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 121112010100117 its reverse (711001010211121), we get a palindrome (832113020311238).

The spelling of 121112010100117 in words is "one hundred twenty-one trillion, one hundred twelve billion, ten million, one hundred thousand, one hundred seventeen".