110100100100077 has 2 divisors, whose sum is σ = 110100100100078. Its totient is φ = 110100100100076.

The previous prime is 110100100099993. The next prime is 110100100100129. The reversal of 110100100100077 is 770001001001011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79701131147401 + 30398968952676 = 8927549^2 + 5513526^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100100100077 - 2³¹ = 110097952616429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100100100377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050050050038 + 55050050050039.

It is an arithmetic number, because the mean of its divisors is an integer number (55050050050039).

Almost surely, 2^{110100100100077} is an apocalyptic number.

It is an amenable number.

110100100100077 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100100100077 is an equidigital number, since it uses as much as digits as its factorization.

110100100100077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 110100100100077 its reverse (770001001001011), we get a palindrome (880101101101088).

The spelling of 110100100100077 in words is "one hundred ten trillion, one hundred billion, one hundred million, one hundred thousand, seventy-seven".