100110611977 has 2 divisors, whose sum is σ = 100110611978. Its totient is φ = 100110611976.

The previous prime is 100110611957. The next prime is 100110611989. The reversal of 100110611977 is 779116011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98860565241 + 1250046736 = 314421^2 + 35356^2 .

It is an emirp because it is prime and its reverse (779116011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110611977 - 2³⁵ = 65750873609 is a prime.

It is not a weakly prime, because it can be changed into another prime (100110611927) 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, 50055305988 + 50055305989.

It is an arithmetic number, because the mean of its divisors is an integer number (50055305989).

Almost surely, 2^100110611977 is an apocalyptic number.

It is an amenable number.

100110611977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110611977 is an equidigital number, since it uses as much as digits as its factorization.

100110611977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 34.

Adding to 100110611977 its reverse (779116011001), we get a palindrome (879226622978).

The spelling of 100110611977 in words is "one hundred billion, one hundred ten million, six hundred eleven thousand, nine hundred seventy-seven".