111106726299521 has 2 divisors, whose sum is σ = 111106726299522. Its totient is φ = 111106726299520.

The previous prime is 111106726299391. The next prime is 111106726299533. The reversal of 111106726299521 is 125992627601111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73263756330625 + 37842969968896 = 8559425^2 + 6151664^2 .

It is a cyclic number.

It is not a de Polignac number, because 111106726299521 - 2³⁴ = 111089546430337 is a prime.

It is not a weakly prime, because it can be changed into another prime (111106726289521) 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, 55553363149760 + 55553363149761.

It is an arithmetic number, because the mean of its divisors is an integer number (55553363149761).

Almost surely, 2^{111106726299521} is an apocalyptic number.

It is an amenable number.

111106726299521 is a deficient number, since it is larger than the sum of its proper divisors (1).

111106726299521 is an equidigital number, since it uses as much as digits as its factorization.

111106726299521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 53.

The spelling of 111106726299521 in words is "one hundred eleven trillion, one hundred six billion, seven hundred twenty-six million, two hundred ninety-nine thousand, five hundred twenty-one".