111020122008953 has 2 divisors, whose sum is σ = 111020122008954. Its totient is φ = 111020122008952.

The previous prime is 111020122008907. The next prime is 111020122009031. The reversal of 111020122008953 is 359800221020111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111002070205504 + 18051803449 = 10535752^2 + 134357^2 .

It is an emirp because it is prime and its reverse (359800221020111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111020122008953 is a prime.

It is a super-2 number, since 2×111020122008953² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111020122008353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55510061004476 + 55510061004477.

It is an arithmetic number, because the mean of its divisors is an integer number (55510061004477).

Almost surely, 2^{111020122008953} is an apocalyptic number.

It is an amenable number.

111020122008953 is a deficient number, since it is larger than the sum of its proper divisors (1).

111020122008953 is an equidigital number, since it uses as much as digits as its factorization.

111020122008953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 111020122008953 in words is "one hundred eleven trillion, twenty billion, one hundred twenty-two million, eight thousand, nine hundred fifty-three".