1010100110077 has 2 divisors, whose sum is σ = 1010100110078. Its totient is φ = 1010100110076.

The previous prime is 1010100110039. The next prime is 1010100110099. The reversal of 1010100110077 is 7700110010101.

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., 738123257881 + 271976852196 = 859141^2 + 521514^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010100110077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010100120077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050055038 + 505050055039.

It is an arithmetic number, because the mean of its divisors is an integer number (505050055039).

Almost surely, 2^{1010100110077} is an apocalyptic number.

It is an amenable number.

1010100110077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100110077 is an equidigital number, since it uses as much as digits as its factorization.

1010100110077 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 1010100110077 its reverse (7700110010101), we get a palindrome (8710210120178).

The spelling of 1010100110077 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, seventy-seven".