111200101010993 has 2 divisors, whose sum is σ = 111200101010994. Its totient is φ = 111200101010992.

The previous prime is 111200101010983. The next prime is 111200101011007. The reversal of 111200101010993 is 399010101002111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111136441684129 + 63659326864 = 10542127^2 + 252308^2 .

It is a cyclic number.

It is not a de Polignac number, because 111200101010993 - 2²² = 111200096816689 is a prime.

It is not a weakly prime, because it can be changed into another prime (111200101010983) 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, 55600050505496 + 55600050505497.

It is an arithmetic number, because the mean of its divisors is an integer number (55600050505497).

Almost surely, 2^{111200101010993} is an apocalyptic number.

It is an amenable number.

111200101010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

111200101010993 is an equidigital number, since it uses as much as digits as its factorization.

111200101010993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 29.

The spelling of 111200101010993 in words is "one hundred eleven trillion, two hundred billion, one hundred one million, ten thousand, nine hundred ninety-three".