100110611077 has 2 divisors, whose sum is σ = 100110611078. Its totient is φ = 100110611076.

The previous prime is 100110611063. The next prime is 100110611113. The reversal of 100110611077 is 770116011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69038088001 + 31072523076 = 262751^2 + 176274^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110611077 - 2¹¹ = 100110609029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110611977) 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, 50055305538 + 50055305539.

It is an arithmetic number, because the mean of its divisors is an integer number (50055305539).

Almost surely, 2^100110611077 is an apocalyptic number.

It is an amenable number.

100110611077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110611077 is an equidigital number, since it uses as much as digits as its factorization.

100110611077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 25.

Adding to 100110611077 its reverse (770116011001), we get a palindrome (870226622078).

The spelling of 100110611077 in words is "one hundred billion, one hundred ten million, six hundred eleven thousand, seventy-seven".