101011111009993 has 2 divisors, whose sum is σ = 101011111009994. Its totient is φ = 101011111009992.

The previous prime is 101011111009933. The next prime is 101011111010011. The reversal of 101011111009993 is 399900111110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81677255777209 + 19333855232784 = 9037547^2 + 4397028^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111009993 - 2⁹ = 101011111009481 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011111009933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505555504996 + 50505555504997.

It is an arithmetic number, because the mean of its divisors is an integer number (50505555504997).

Almost surely, 2^{101011111009993} is an apocalyptic number.

It is an amenable number.

101011111009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011111009993 is an equidigital number, since it uses as much as digits as its factorization.

101011111009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 37.

The spelling of 101011111009993 in words is "one hundred one trillion, eleven billion, one hundred eleven million, nine thousand, nine hundred ninety-three".