111012221212117 has 2 divisors, whose sum is σ = 111012221212118. Its totient is φ = 111012221212116.

The previous prime is 111012221212111. The next prime is 111012221212157. The reversal of 111012221212117 is 711212122210111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63584771688036 + 47427449524081 = 7974006^2 + 6886759^2 .

It is a cyclic number.

It is not a de Polignac number, because 111012221212117 - 2³¹ = 111010073728469 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111012221212091 and 111012221212100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111012221212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506110606058 + 55506110606059.

It is an arithmetic number, because the mean of its divisors is an integer number (55506110606059).

Almost surely, 2^{111012221212117} is an apocalyptic number.

It is an amenable number.

111012221212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111012221212117 is an equidigital number, since it uses as much as digits as its factorization.

111012221212117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 25.

Adding to 111012221212117 its reverse (711212122210111), we get a palindrome (822224343422228).

The spelling of 111012221212117 in words is "one hundred eleven trillion, twelve billion, two hundred twenty-one million, two hundred twelve thousand, one hundred seventeen".