101101109077 has 2 divisors, whose sum is σ = 101101109078. Its totient is φ = 101101109076.

The previous prime is 101101109063. The next prime is 101101109101. The reversal of 101101109077 is 770901101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59531608081 + 41569500996 = 243991^2 + 203886^2 .

It is an emirp because it is prime and its reverse (770901101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101109077 - 2⁷ = 101101108949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101109047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550554538 + 50550554539.

It is an arithmetic number, because the mean of its divisors is an integer number (50550554539).

Almost surely, 2^101101109077 is an apocalyptic number.

It is an amenable number.

101101109077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101109077 is an equidigital number, since it uses as much as digits as its factorization.

101101109077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441, while the sum is 28.

The spelling of 101101109077 in words is "one hundred one billion, one hundred one million, one hundred nine thousand, seventy-seven".