110101100999977 has 2 divisors, whose sum is σ = 110101100999978. Its totient is φ = 110101100999976.

The previous prime is 110101100999959. The next prime is 110101100999993. The reversal of 110101100999977 is 779999001101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109611351567936 + 489749432041 = 10469544^2 + 699821^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101100999977 - 2³¹ = 110098953516329 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101100991977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550499988 + 55050550499989.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550499989).

Almost surely, 2^{110101100999977} is an apocalyptic number.

It is an amenable number.

110101100999977 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101100999977 is an equidigital number, since it uses as much as digits as its factorization.

110101100999977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 321489, while the sum is 55.

The spelling of 110101100999977 in words is "one hundred ten trillion, one hundred one billion, one hundred million, nine hundred ninety-nine thousand, nine hundred seventy-seven".