111011727641 has 2 divisors, whose sum is σ = 111011727642. Its totient is φ = 111011727640.

The previous prime is 111011727637. The next prime is 111011727667. The reversal of 111011727641 is 146727110111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58854760000 + 52156967641 = 242600^2 + 228379^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011727641 - 2² = 111011727637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111011727598 and 111011727607.

It is not a weakly prime, because it can be changed into another prime (111011727041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505863820 + 55505863821.

It is an arithmetic number, because the mean of its divisors is an integer number (55505863821).

Almost surely, 2^111011727641 is an apocalyptic number.

It is an amenable number.

111011727641 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011727641 is an equidigital number, since it uses as much as digits as its factorization.

111011727641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 32.

Adding to 111011727641 its reverse (146727110111), we get a palindrome (257738837752).

The spelling of 111011727641 in words is "one hundred eleven billion, eleven million, seven hundred twenty-seven thousand, six hundred forty-one".