110101200020993 has 2 divisors, whose sum is σ = 110101200020994. Its totient is φ = 110101200020992.

The previous prime is 110101200020947. The next prime is 110101200021031. The reversal of 110101200020993 is 399020002101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106310266411969 + 3790933609024 = 10310687^2 + 1947032^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101200020993 - 2²⁰ = 110101198972417 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101200020293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050600010496 + 55050600010497.

It is an arithmetic number, because the mean of its divisors is an integer number (55050600010497).

Almost surely, 2^{110101200020993} is an apocalyptic number.

It is an amenable number.

110101200020993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101200020993 is an equidigital number, since it uses as much as digits as its factorization.

110101200020993 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 29.

The spelling of 110101200020993 in words is "one hundred ten trillion, one hundred one billion, two hundred million, twenty thousand, nine hundred ninety-three".