109930085777233 has 2 divisors, whose sum is σ = 109930085777234. Its totient is φ = 109930085777232.

The previous prime is 109930085777209. The next prime is 109930085777249. The reversal of 109930085777233 is 332777580039901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82284710072464 + 27645375704769 = 9071092^2 + 5257887^2 .

It is a cyclic number.

It is not a de Polignac number, because 109930085777233 - 2²⁵ = 109930052222801 is a prime.

It is a super-2 number, since 2×109930085777233² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (109930085777273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54965042888616 + 54965042888617.

It is an arithmetic number, because the mean of its divisors is an integer number (54965042888617).

Almost surely, 2^{109930085777233} is an apocalyptic number.

It is an amenable number.

109930085777233 is a deficient number, since it is larger than the sum of its proper divisors (1).

109930085777233 is an equidigital number, since it uses as much as digits as its factorization.

109930085777233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60011280, while the sum is 64.

The spelling of 109930085777233 in words is "one hundred nine trillion, nine hundred thirty billion, eighty-five million, seven hundred seventy-seven thousand, two hundred thirty-three".