101110000001077 has 2 divisors, whose sum is σ = 101110000001078. Its totient is φ = 101110000001076.

The previous prime is 101110000001063. The next prime is 101110000001149. The reversal of 101110000001077 is 770100000011101.

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., 63070821257796 + 38039178743281 = 7941714^2 + 6167591^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110000001077 - 2⁴³ = 92313906978869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110000001057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000000538 + 50555000000539.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000000539).

Almost surely, 2^{101110000001077} is an apocalyptic number.

It is an amenable number.

101110000001077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110000001077 is an equidigital number, since it uses as much as digits as its factorization.

101110000001077 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 19.

Adding to 101110000001077 its reverse (770100000011101), we get a palindrome (871210000012178).

The spelling of 101110000001077 in words is "one hundred one trillion, one hundred ten billion, one thousand, seventy-seven".