101010111077 has 2 divisors, whose sum is σ = 101010111078. Its totient is φ = 101010111076.

The previous prime is 101010111071. The next prime is 101010111089. The reversal of 101010111077 is 770111010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89022269956 + 11987841121 = 298366^2 + 109489^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010111077 - 2¹⁰ = 101010110053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010111071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055538 + 50505055539.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055539).

Almost surely, 2^101010111077 is an apocalyptic number.

It is an amenable number.

101010111077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010111077 is an equidigital number, since it uses as much as digits as its factorization.

101010111077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 20.

Adding to 101010111077 its reverse (770111010101), we get a palindrome (871121121178).

The spelling of 101010111077 in words is "one hundred one billion, ten million, one hundred eleven thousand, seventy-seven".