111121110221993 has 2 divisors, whose sum is σ = 111121110221994. Its totient is φ = 111121110221992.

The previous prime is 111121110221951. The next prime is 111121110222037. The reversal of 111121110221993 is 399122011121111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76163548571929 + 34957561650064 = 8727173^2 + 5912492^2 .

It is an emirp because it is prime and its reverse (399122011121111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111121110221993 - 2⁶ = 111121110221929 is a prime.

It is a super-2 number, since 2×111121110221993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111121110271993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55560555110996 + 55560555110997.

It is an arithmetic number, because the mean of its divisors is an integer number (55560555110997).

Almost surely, 2^{111121110221993} is an apocalyptic number.

It is an amenable number.

111121110221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

111121110221993 is an equidigital number, since it uses as much as digits as its factorization.

111121110221993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 35.

The spelling of 111121110221993 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-one thousand, nine hundred ninety-three".