11121101201993 has 2 divisors, whose sum is σ = 11121101201994. Its totient is φ = 11121101201992.

The previous prime is 11121101201983. The next prime is 11121101202007. The reversal of 11121101201993 is 39910210112111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8544472686649 + 2576628515344 = 2923093^2 + 1605188^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11121101201993 is a prime.

It is not a weakly prime, because it can be changed into another prime (11121101201983) 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, 5560550600996 + 5560550600997.

It is an arithmetic number, because the mean of its divisors is an integer number (5560550600997).

Almost surely, 2^{11121101201993} is an apocalyptic number.

It is an amenable number.

11121101201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121101201993 is an equidigital number, since it uses as much as digits as its factorization.

11121101201993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 32.

The spelling of 11121101201993 in words is "eleven trillion, one hundred twenty-one billion, one hundred one million, two hundred one thousand, nine hundred ninety-three".