111100000100993 has 2 divisors, whose sum is σ = 111100000100994. Its totient is φ = 111100000100992.

The previous prime is 111100000100987. The next prime is 111100000101073. The reversal of 111100000100993 is 399001000001111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89625830936464 + 21474169164529 = 9467092^2 + 4634023^2 .

It is an emirp because it is prime and its reverse (399001000001111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111100000100993 - 2⁸ = 111100000100737 is a prime.

It is a super-2 number, since 2×111100000100993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111100000100923) 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, 55550000050496 + 55550000050497.

It is an arithmetic number, because the mean of its divisors is an integer number (55550000050497).

Almost surely, 2^{111100000100993} is an apocalyptic number.

It is an amenable number.

111100000100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100000100993 is an equidigital number, since it uses as much as digits as its factorization.

111100000100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 26.

The spelling of 111100000100993 in words is "one hundred eleven trillion, one hundred billion, one hundred thousand, nine hundred ninety-three".